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Finding the Fourth Proportional to 201,471,076.80, 302,206,615.20 and 185,346,763.20

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Solution

The fourth proportional to 201,471,076.80, 302,206,615.20 and 185,346,763.20 is: 278,020,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,471,076.80 : 302,206,615.20 = 185,346,763.20 : x
  2. Step 2: Convert to fraction form
    201,471,076.80/302,206,615.20 = 185,346,763.20/x
  3. Step 3: Cross multiply
    201,471,076.80x = 302,206,615.20 × 185,346,763.20
  4. Step 4: Simplify right side
    201,471,076.80x = 56,013,017,944,947,912
  5. Step 5: Solve for x
    x = 56,013,017,944,947,912/201,471,076.80
  6. Step 6: Final answer
    x = 278,020,144.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.