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Finding the Fourth Proportional to 217,084.96, 299,577.24 and 132,202.02

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Solution

The fourth proportional to 217,084.96, 299,577.24 and 132,202.02 is: 182,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,084.96 : 299,577.24 = 132,202.02 : x
  2. Step 2: Convert to fraction form
    217,084.96/299,577.24 = 132,202.02/x
  3. Step 3: Cross multiply
    217,084.96x = 299,577.24 × 132,202.02
  4. Step 4: Simplify right side
    217,084.96x = 39,604,716,274.02
  5. Step 5: Solve for x
    x = 39,604,716,274.02/217,084.96
  6. Step 6: Final answer
    x = 182,438.78

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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.