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Finding the Fourth Proportional to 115,872.40, 173,938.20 and 89,693.20

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Solution

The fourth proportional to 115,872.40, 173,938.20 and 89,693.20 is: 134,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,872.40 : 173,938.20 = 89,693.20 : x
  2. Step 2: Convert to fraction form
    115,872.40/173,938.20 = 89,693.20/x
  3. Step 3: Cross multiply
    115,872.40x = 173,938.20 × 89,693.20
  4. Step 4: Simplify right side
    115,872.40x = 15,601,073,760.24
  5. Step 5: Solve for x
    x = 15,601,073,760.24/115,872.40
  6. Step 6: Final answer
    x = 134,640.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.