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Finding the Fourth Proportional to 217,188.57, 299,720.32 and 132,305.64

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Solution

The fourth proportional to 217,188.57, 299,720.32 and 132,305.64 is: 182,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,188.57 : 299,720.32 = 132,305.64 : x
  2. Step 2: Convert to fraction form
    217,188.57/299,720.32 = 132,305.64/x
  3. Step 3: Cross multiply
    217,188.57x = 299,720.32 × 132,305.64
  4. Step 4: Simplify right side
    217,188.57x = 39,654,687,303.89
  5. Step 5: Solve for x
    x = 39,654,687,303.89/217,188.57
  6. Step 6: Final answer
    x = 182,581.83

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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.