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Finding the Fourth Proportional to 243,116.46, 335,472.50 and 135,682.83

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Solution

The fourth proportional to 243,116.46, 335,472.50 and 135,682.83 is: 187,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,116.46 : 335,472.50 = 135,682.83 : x
  2. Step 2: Convert to fraction form
    243,116.46/335,472.50 = 135,682.83/x
  3. Step 3: Cross multiply
    243,116.46x = 335,472.50 × 135,682.83
  4. Step 4: Simplify right side
    243,116.46x = 45,517,858,526.38
  5. Step 5: Solve for x
    x = 45,517,858,526.38/243,116.46
  6. Step 6: Final answer
    x = 187,226.56

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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.