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Finding the Fourth Proportional to 129,162.96, 178,236.72 and 75,463.20

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Solution

The fourth proportional to 129,162.96, 178,236.72 and 75,463.20 is: 104,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,162.96 : 178,236.72 = 75,463.20 : x
  2. Step 2: Convert to fraction form
    129,162.96/178,236.72 = 75,463.20/x
  3. Step 3: Cross multiply
    129,162.96x = 178,236.72 × 75,463.20
  4. Step 4: Simplify right side
    129,162.96x = 13,450,313,248.70
  5. Step 5: Solve for x
    x = 13,450,313,248.70/129,162.96
  6. Step 6: Final answer
    x = 104,134.45

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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.