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Finding the Fourth Proportional to 102,358.74, 141,251.46 and 57,034.38

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Solution

The fourth proportional to 102,358.74, 141,251.46 and 57,034.38 is: 78,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,358.74 : 141,251.46 = 57,034.38 : x
  2. Step 2: Convert to fraction form
    102,358.74/141,251.46 = 57,034.38/x
  3. Step 3: Cross multiply
    102,358.74x = 141,251.46 × 57,034.38
  4. Step 4: Simplify right side
    102,358.74x = 8,056,189,445.19
  5. Step 5: Solve for x
    x = 8,056,189,445.19/102,358.74
  6. Step 6: Final answer
    x = 78,705.44

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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.