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Finding the Fourth Proportional to 261,909.20, 392,892.60 and 95,733.20

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Solution

The fourth proportional to 261,909.20, 392,892.60 and 95,733.20 is: 143,610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,909.20 : 392,892.60 = 95,733.20 : x
  2. Step 2: Convert to fraction form
    261,909.20/392,892.60 = 95,733.20/x
  3. Step 3: Cross multiply
    261,909.20x = 392,892.60 × 95,733.20
  4. Step 4: Simplify right side
    261,909.20x = 37,612,865,854.32
  5. Step 5: Solve for x
    x = 37,612,865,854.32/261,909.20
  6. Step 6: Final answer
    x = 143,610.33

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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.