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Finding the Fourth Proportional to 129,172.14, 178,260.62 and 71,813.21

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Solution

The fourth proportional to 129,172.14, 178,260.62 and 71,813.21 is: 99,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,172.14 : 178,260.62 = 71,813.21 : x
  2. Step 2: Convert to fraction form
    129,172.14/178,260.62 = 71,813.21/x
  3. Step 3: Cross multiply
    129,172.14x = 178,260.62 × 71,813.21
  4. Step 4: Simplify right side
    129,172.14x = 12,801,466,088.42
  5. Step 5: Solve for x
    x = 12,801,466,088.42/129,172.14
  6. Step 6: Final answer
    x = 99,103.93

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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.