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Finding the Fourth Proportional to 129,129.93, 178,171.65 and 75,390.53

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Solution

The fourth proportional to 129,129.93, 178,171.65 and 75,390.53 is: 104,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,129.93 : 178,171.65 = 75,390.53 : x
  2. Step 2: Convert to fraction form
    129,129.93/178,171.65 = 75,390.53/x
  3. Step 3: Cross multiply
    129,129.93x = 178,171.65 × 75,390.53
  4. Step 4: Simplify right side
    129,129.93x = 13,432,454,233.62
  5. Step 5: Solve for x
    x = 13,432,454,233.62/129,129.93
  6. Step 6: Final answer
    x = 104,022.78

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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.