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Finding the Fourth Proportional to 292,452.66, 403,591.41 and 165,129.30

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Solution

The fourth proportional to 292,452.66, 403,591.41 and 165,129.30 is: 227,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,452.66 : 403,591.41 = 165,129.30 : x
  2. Step 2: Convert to fraction form
    292,452.66/403,591.41 = 165,129.30/x
  3. Step 3: Cross multiply
    292,452.66x = 403,591.41 × 165,129.30
  4. Step 4: Simplify right side
    292,452.66x = 66,644,767,019.31
  5. Step 5: Solve for x
    x = 66,644,767,019.31/292,452.66
  6. Step 6: Final answer
    x = 227,882.24

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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.