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Finding the Fourth Proportional to 129,144.46, 178,218.20 and 71,782.32

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Solution

The fourth proportional to 129,144.46, 178,218.20 and 71,782.32 is: 99,058.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,144.46 : 178,218.20 = 71,782.32 : x
  2. Step 2: Convert to fraction form
    129,144.46/178,218.20 = 71,782.32/x
  3. Step 3: Cross multiply
    129,144.46x = 178,218.20 × 71,782.32
  4. Step 4: Simplify right side
    129,144.46x = 12,792,915,862.22
  5. Step 5: Solve for x
    x = 12,792,915,862.22/129,144.46
  6. Step 6: Final answer
    x = 99,058.96

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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.