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Finding the Fourth Proportional to 120,062.64, 165,696.42 and 66,358.14

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Solution

The fourth proportional to 120,062.64, 165,696.42 and 66,358.14 is: 91,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,062.64 : 165,696.42 = 66,358.14 : x
  2. Step 2: Convert to fraction form
    120,062.64/165,696.42 = 66,358.14/x
  3. Step 3: Cross multiply
    120,062.64x = 165,696.42 × 66,358.14
  4. Step 4: Simplify right side
    120,062.64x = 10,995,306,235.86
  5. Step 5: Solve for x
    x = 10,995,306,235.86/120,062.64
  6. Step 6: Final answer
    x = 91,579.75

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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.