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Finding the Fourth Proportional to 120,024, 165,631.16 and 66,311.28

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Solution

The fourth proportional to 120,024, 165,631.16 and 66,311.28 is: 91,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,024 : 165,631.16 = 66,311.28 : x
  2. Step 2: Convert to fraction form
    120,024/165,631.16 = 66,311.28/x
  3. Step 3: Cross multiply
    120,024x = 165,631.16 × 66,311.28
  4. Step 4: Simplify right side
    120,024x = 10,983,214,227.48
  5. Step 5: Solve for x
    x = 10,983,214,227.48/120,024
  6. Step 6: Final answer
    x = 91,508.48

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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.