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Finding the Fourth Proportional to 232,098.20, 320,318.20 and 130,123.86

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Solution

The fourth proportional to 232,098.20, 320,318.20 and 130,123.86 is: 179,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,098.20 : 320,318.20 = 130,123.86 : x
  2. Step 2: Convert to fraction form
    232,098.20/320,318.20 = 130,123.86/x
  3. Step 3: Cross multiply
    232,098.20x = 320,318.20 × 130,123.86
  4. Step 4: Simplify right side
    232,098.20x = 41,681,040,612.25
  5. Step 5: Solve for x
    x = 41,681,040,612.25/232,098.20
  6. Step 6: Final answer
    x = 179,583.64

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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.