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Finding the Fourth Proportional to 178,715.38, 246,631.36 and 102,241.66

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Solution

The fourth proportional to 178,715.38, 246,631.36 and 102,241.66 is: 141,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,715.38 : 246,631.36 = 102,241.66 : x
  2. Step 2: Convert to fraction form
    178,715.38/246,631.36 = 102,241.66/x
  3. Step 3: Cross multiply
    178,715.38x = 246,631.36 × 102,241.66
  4. Step 4: Simplify right side
    178,715.38x = 25,215,999,654.46
  5. Step 5: Solve for x
    x = 25,215,999,654.46/178,715.38
  6. Step 6: Final answer
    x = 141,095.86

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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.