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Finding the Fourth Proportional to 129,084.16, 178,104.72 and 75,338.56

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Solution

The fourth proportional to 129,084.16, 178,104.72 and 75,338.56 is: 103,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,084.16 : 178,104.72 = 75,338.56 : x
  2. Step 2: Convert to fraction form
    129,084.16/178,104.72 = 75,338.56/x
  3. Step 3: Cross multiply
    129,084.16x = 178,104.72 × 75,338.56
  4. Step 4: Simplify right side
    129,084.16x = 13,418,153,134.00
  5. Step 5: Solve for x
    x = 13,418,153,134.00/129,084.16
  6. Step 6: Final answer
    x = 103,948.87

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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.