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Finding the Fourth Proportional to 129,143.36, 178,217.69 and 71,780.87

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Solution

The fourth proportional to 129,143.36, 178,217.69 and 71,780.87 is: 99,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,143.36 : 178,217.69 = 71,780.87 : x
  2. Step 2: Convert to fraction form
    129,143.36/178,217.69 = 71,780.87/x
  3. Step 3: Cross multiply
    129,143.36x = 178,217.69 × 71,780.87
  4. Step 4: Simplify right side
    129,143.36x = 12,792,620,924.23
  5. Step 5: Solve for x
    x = 12,792,620,924.23/129,143.36
  6. Step 6: Final answer
    x = 99,057.52

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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.