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Finding the Fourth Proportional to 201,970.80, 302,956.20 and 61,711.20

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Solution

The fourth proportional to 201,970.80, 302,956.20 and 61,711.20 is: 92,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,970.80 : 302,956.20 = 61,711.20 : x
  2. Step 2: Convert to fraction form
    201,970.80/302,956.20 = 61,711.20/x
  3. Step 3: Cross multiply
    201,970.80x = 302,956.20 × 61,711.20
  4. Step 4: Simplify right side
    201,970.80x = 18,695,790,649.44
  5. Step 5: Solve for x
    x = 18,695,790,649.44/201,970.80
  6. Step 6: Final answer
    x = 92,566.80

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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.