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Finding the Fourth Proportional to 119,164.57, 164,446.61 and 65,449.42

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Solution

The fourth proportional to 119,164.57, 164,446.61 and 65,449.42 is: 90,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,164.57 : 164,446.61 = 65,449.42 : x
  2. Step 2: Convert to fraction form
    119,164.57/164,446.61 = 65,449.42/x
  3. Step 3: Cross multiply
    119,164.57x = 164,446.61 × 65,449.42
  4. Step 4: Simplify right side
    119,164.57x = 10,762,934,507.10
  5. Step 5: Solve for x
    x = 10,762,934,507.10/119,164.57
  6. Step 6: Final answer
    x = 90,319.92

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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.