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Finding the Fourth Proportional to 129,186.50, 178,272.42 and 71,829.32

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Solution

The fourth proportional to 129,186.50, 178,272.42 and 71,829.32 is: 99,121.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,186.50 : 178,272.42 = 71,829.32 : x
  2. Step 2: Convert to fraction form
    129,186.50/178,272.42 = 71,829.32/x
  3. Step 3: Cross multiply
    129,186.50x = 178,272.42 × 71,829.32
  4. Step 4: Simplify right side
    129,186.50x = 12,805,186,703.35
  5. Step 5: Solve for x
    x = 12,805,186,703.35/129,186.50
  6. Step 6: Final answer
    x = 99,121.71

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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.