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Finding the Fourth Proportional to 136,123.38, 187,800.30 and 82,388.70

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Solution

The fourth proportional to 136,123.38, 187,800.30 and 82,388.70 is: 113,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,123.38 : 187,800.30 = 82,388.70 : x
  2. Step 2: Convert to fraction form
    136,123.38/187,800.30 = 82,388.70/x
  3. Step 3: Cross multiply
    136,123.38x = 187,800.30 × 82,388.70
  4. Step 4: Simplify right side
    136,123.38x = 15,472,622,576.61
  5. Step 5: Solve for x
    x = 15,472,622,576.61/136,123.38
  6. Step 6: Final answer
    x = 113,666.17

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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.