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Finding the Fourth Proportional to 156,008.43, 233,824.65 and 71,652.19

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Solution

The fourth proportional to 156,008.43, 233,824.65 and 71,652.19 is: 107,391.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,008.43 : 233,824.65 = 71,652.19 : x
  2. Step 2: Convert to fraction form
    156,008.43/233,824.65 = 71,652.19/x
  3. Step 3: Cross multiply
    156,008.43x = 233,824.65 × 71,652.19
  4. Step 4: Simplify right side
    156,008.43x = 16,754,048,248.48
  5. Step 5: Solve for x
    x = 16,754,048,248.48/156,008.43
  6. Step 6: Final answer
    x = 107,391.95

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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.