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Finding the Fourth Proportional to 129,665.24, 178,952.34 and 75,229.40

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Solution

The fourth proportional to 129,665.24, 178,952.34 and 75,229.40 is: 103,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,665.24 : 178,952.34 = 75,229.40 : x
  2. Step 2: Convert to fraction form
    129,665.24/178,952.34 = 75,229.40/x
  3. Step 3: Cross multiply
    129,665.24x = 178,952.34 × 75,229.40
  4. Step 4: Simplify right side
    129,665.24x = 13,462,477,166.80
  5. Step 5: Solve for x
    x = 13,462,477,166.80/129,665.24
  6. Step 6: Final answer
    x = 103,824.87

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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.