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Finding the Fourth Proportional to 120,097.24, 165,744.42 and 69,793

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Solution

The fourth proportional to 120,097.24, 165,744.42 and 69,793 is: 96,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,097.24 : 165,744.42 = 69,793 : x
  2. Step 2: Convert to fraction form
    120,097.24/165,744.42 = 69,793/x
  3. Step 3: Cross multiply
    120,097.24x = 165,744.42 × 69,793
  4. Step 4: Simplify right side
    120,097.24x = 11,567,800,305.06
  5. Step 5: Solve for x
    x = 11,567,800,305.06/120,097.24
  6. Step 6: Final answer
    x = 96,320.28

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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.