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Finding the Fourth Proportional to 242,553.42, 334,723.92 and 135,123.72

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Solution

The fourth proportional to 242,553.42, 334,723.92 and 135,123.72 is: 186,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,553.42 : 334,723.92 = 135,123.72 : x
  2. Step 2: Convert to fraction form
    242,553.42/334,723.92 = 135,123.72/x
  3. Step 3: Cross multiply
    242,553.42x = 334,723.92 × 135,123.72
  4. Step 4: Simplify right side
    242,553.42x = 45,229,141,243.38
  5. Step 5: Solve for x
    x = 45,229,141,243.38/242,553.42
  6. Step 6: Final answer
    x = 186,470.85

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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.