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Finding the Fourth Proportional to 120,122.64, 165,785.73 and 69,134.34

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Solution

The fourth proportional to 120,122.64, 165,785.73 and 69,134.34 is: 95,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,122.64 : 165,785.73 = 69,134.34 : x
  2. Step 2: Convert to fraction form
    120,122.64/165,785.73 = 69,134.34/x
  3. Step 3: Cross multiply
    120,122.64x = 165,785.73 × 69,134.34
  4. Step 4: Simplify right side
    120,122.64x = 11,461,487,024.97
  5. Step 5: Solve for x
    x = 11,461,487,024.97/120,122.64
  6. Step 6: Final answer
    x = 95,414.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.