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Finding the Fourth Proportional to 129,177.14, 178,294.43 and 81,495.68

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Solution

The fourth proportional to 129,177.14, 178,294.43 and 81,495.68 is: 112,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,177.14 : 178,294.43 = 81,495.68 : x
  2. Step 2: Convert to fraction form
    129,177.14/178,294.43 = 81,495.68/x
  3. Step 3: Cross multiply
    129,177.14x = 178,294.43 × 81,495.68
  4. Step 4: Simplify right side
    129,177.14x = 14,530,225,125.33
  5. Step 5: Solve for x
    x = 14,530,225,125.33/129,177.14
  6. Step 6: Final answer
    x = 112,482.95

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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.