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Finding the Fourth Proportional to 129,016.05, 178,042.14 and 72,427.38

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Solution

The fourth proportional to 129,016.05, 178,042.14 and 72,427.38 is: 99,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,016.05 : 178,042.14 = 72,427.38 : x
  2. Step 2: Convert to fraction form
    129,016.05/178,042.14 = 72,427.38/x
  3. Step 3: Cross multiply
    129,016.05x = 178,042.14 × 72,427.38
  4. Step 4: Simplify right side
    129,016.05x = 12,895,125,729.79
  5. Step 5: Solve for x
    x = 12,895,125,729.79/129,016.05
  6. Step 6: Final answer
    x = 99,949.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.