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Finding the Fourth Proportional to 232,397.50, 347,716.56 and 137,678.52

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Solution

The fourth proportional to 232,397.50, 347,716.56 and 137,678.52 is: 205,996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,397.50 : 347,716.56 = 137,678.52 : x
  2. Step 2: Convert to fraction form
    232,397.50/347,716.56 = 137,678.52/x
  3. Step 3: Cross multiply
    232,397.50x = 347,716.56 × 137,678.52
  4. Step 4: Simplify right side
    232,397.50x = 47,873,101,360.29
  5. Step 5: Solve for x
    x = 47,873,101,360.29/232,397.50
  6. Step 6: Final answer
    x = 205,996.63

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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.