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Finding the Fourth Proportional to 242,527.38, 334,687.56 and 140,612

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Solution

The fourth proportional to 242,527.38, 334,687.56 and 140,612 is: 194,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,527.38 : 334,687.56 = 140,612 : x
  2. Step 2: Convert to fraction form
    242,527.38/334,687.56 = 140,612/x
  3. Step 3: Cross multiply
    242,527.38x = 334,687.56 × 140,612
  4. Step 4: Simplify right side
    242,527.38x = 47,061,087,186.72
  5. Step 5: Solve for x
    x = 47,061,087,186.72/242,527.38
  6. Step 6: Final answer
    x = 194,044.43

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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.