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Finding the Fourth Proportional to 129,089.14, 193,709.50 and 54,203.53

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Solution

The fourth proportional to 129,089.14, 193,709.50 and 54,203.53 is: 81,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,089.14 : 193,709.50 = 54,203.53 : x
  2. Step 2: Convert to fraction form
    129,089.14/193,709.50 = 54,203.53/x
  3. Step 3: Cross multiply
    129,089.14x = 193,709.50 × 54,203.53
  4. Step 4: Simplify right side
    129,089.14x = 10,499,738,694.54
  5. Step 5: Solve for x
    x = 10,499,738,694.54/129,089.14
  6. Step 6: Final answer
    x = 81,337.12

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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.