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Finding the Fourth Proportional to 201,471,113.80, 302,206,670.70 and 185,346,800.20

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Solution

The fourth proportional to 201,471,113.80, 302,206,670.70 and 185,346,800.20 is: 278,020,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,471,113.80 : 302,206,670.70 = 185,346,800.20 : x
  2. Step 2: Convert to fraction form
    201,471,113.80/302,206,670.70 = 185,346,800.20/x
  3. Step 3: Cross multiply
    201,471,113.80x = 302,206,670.70 × 185,346,800.20
  4. Step 4: Simplify right side
    201,471,113.80x = 56,013,039,413,340,088
  5. Step 5: Solve for x
    x = 56,013,039,413,340,088/201,471,113.80
  6. Step 6: Final answer
    x = 278,020,200.30

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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.