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Finding the Fourth Proportional to 234,094.32, 323,049.78 and 132,141.24

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Solution

The fourth proportional to 234,094.32, 323,049.78 and 132,141.24 is: 182,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,094.32 : 323,049.78 = 132,141.24 : x
  2. Step 2: Convert to fraction form
    234,094.32/323,049.78 = 132,141.24/x
  3. Step 3: Cross multiply
    234,094.32x = 323,049.78 × 132,141.24
  4. Step 4: Simplify right side
    234,094.32x = 42,688,198,510.93
  5. Step 5: Solve for x
    x = 42,688,198,510.93/234,094.32
  6. Step 6: Final answer
    x = 182,354.70

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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.