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Finding the Fourth Proportional to 296,132.52, 408,662.96 and 167,098.39

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Solution

The fourth proportional to 296,132.52, 408,662.96 and 167,098.39 is: 230,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,132.52 : 408,662.96 = 167,098.39 : x
  2. Step 2: Convert to fraction form
    296,132.52/408,662.96 = 167,098.39/x
  3. Step 3: Cross multiply
    296,132.52x = 408,662.96 × 167,098.39
  4. Step 4: Simplify right side
    296,132.52x = 68,286,923,110.21
  5. Step 5: Solve for x
    x = 68,286,923,110.21/296,132.52
  6. Step 6: Final answer
    x = 230,595.82

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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.