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Finding the Fourth Proportional to 256,057.20, 353,306.17 and 147,140.50

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Solution

The fourth proportional to 256,057.20, 353,306.17 and 147,140.50 is: 203,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,057.20 : 353,306.17 = 147,140.50 : x
  2. Step 2: Convert to fraction form
    256,057.20/353,306.17 = 147,140.50/x
  3. Step 3: Cross multiply
    256,057.20x = 353,306.17 × 147,140.50
  4. Step 4: Simplify right side
    256,057.20x = 51,985,645,255.77
  5. Step 5: Solve for x
    x = 51,985,645,255.77/256,057.20
  6. Step 6: Final answer
    x = 203,023.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.