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Finding the Fourth Proportional to 229,187.40, 343,781.10 and 71,428.52

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Solution

The fourth proportional to 229,187.40, 343,781.10 and 71,428.52 is: 107,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,187.40 : 343,781.10 = 71,428.52 : x
  2. Step 2: Convert to fraction form
    229,187.40/343,781.10 = 71,428.52/x
  3. Step 3: Cross multiply
    229,187.40x = 343,781.10 × 71,428.52
  4. Step 4: Simplify right side
    229,187.40x = 24,555,775,176.97
  5. Step 5: Solve for x
    x = 24,555,775,176.97/229,187.40
  6. Step 6: Final answer
    x = 107,142.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.