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Finding the Fourth Proportional to 129,097.14, 193,721.50 and 54,211.52

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Solution

The fourth proportional to 129,097.14, 193,721.50 and 54,211.52 is: 81,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,097.14 : 193,721.50 = 54,211.52 : x
  2. Step 2: Convert to fraction form
    129,097.14/193,721.50 = 54,211.52/x
  3. Step 3: Cross multiply
    129,097.14x = 193,721.50 × 54,211.52
  4. Step 4: Simplify right side
    129,097.14x = 10,501,936,971.68
  5. Step 5: Solve for x
    x = 10,501,936,971.68/129,097.14
  6. Step 6: Final answer
    x = 81,349.11

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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.