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Finding the Fourth Proportional to 134,648.38, 185,825.46 and 74,229.76

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Solution

The fourth proportional to 134,648.38, 185,825.46 and 74,229.76 is: 102,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,648.38 : 185,825.46 = 74,229.76 : x
  2. Step 2: Convert to fraction form
    134,648.38/185,825.46 = 74,229.76/x
  3. Step 3: Cross multiply
    134,648.38x = 185,825.46 × 74,229.76
  4. Step 4: Simplify right side
    134,648.38x = 13,793,779,297.69
  5. Step 5: Solve for x
    x = 13,793,779,297.69/134,648.38
  6. Step 6: Final answer
    x = 102,442.97

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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.