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Finding the Fourth Proportional to 129,812.40, 194,876.55 and 82,427.40

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Solution

The fourth proportional to 129,812.40, 194,876.55 and 82,427.40 is: 123,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,812.40 : 194,876.55 = 82,427.40 : x
  2. Step 2: Convert to fraction form
    129,812.40/194,876.55 = 82,427.40/x
  3. Step 3: Cross multiply
    129,812.40x = 194,876.55 × 82,427.40
  4. Step 4: Simplify right side
    129,812.40x = 16,063,167,337.47
  5. Step 5: Solve for x
    x = 16,063,167,337.47/129,812.40
  6. Step 6: Final answer
    x = 123,741.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.