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Finding the Fourth Proportional to 100,162.38, 138,317.73 and 64,414.46

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Solution

The fourth proportional to 100,162.38, 138,317.73 and 64,414.46 is: 88,952.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,162.38 : 138,317.73 = 64,414.46 : x
  2. Step 2: Convert to fraction form
    100,162.38/138,317.73 = 64,414.46/x
  3. Step 3: Cross multiply
    100,162.38x = 138,317.73 × 64,414.46
  4. Step 4: Simplify right side
    100,162.38x = 8,909,661,886.38
  5. Step 5: Solve for x
    x = 8,909,661,886.38/100,162.38
  6. Step 6: Final answer
    x = 88,952.18

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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.