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Finding the Fourth Proportional to 120,229.90, 165,902.83 and 69,259.30

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Solution

The fourth proportional to 120,229.90, 165,902.83 and 69,259.30 is: 95,569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,229.90 : 165,902.83 = 69,259.30 : x
  2. Step 2: Convert to fraction form
    120,229.90/165,902.83 = 69,259.30/x
  3. Step 3: Cross multiply
    120,229.90x = 165,902.83 × 69,259.30
  4. Step 4: Simplify right side
    120,229.90x = 11,490,313,873.82
  5. Step 5: Solve for x
    x = 11,490,313,873.82/120,229.90
  6. Step 6: Final answer
    x = 95,569.52

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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.