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Finding the Fourth Proportional to 100,146.38, 138,202.30 and 54,824.75

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Solution

The fourth proportional to 100,146.38, 138,202.30 and 54,824.75 is: 75,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,146.38 : 138,202.30 = 54,824.75 : x
  2. Step 2: Convert to fraction form
    100,146.38/138,202.30 = 54,824.75/x
  3. Step 3: Cross multiply
    100,146.38x = 138,202.30 × 54,824.75
  4. Step 4: Simplify right side
    100,146.38x = 7,576,906,442.70
  5. Step 5: Solve for x
    x = 7,576,906,442.70/100,146.38
  6. Step 6: Final answer
    x = 75,658.32

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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.