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Finding the Fourth Proportional to 234,113.32, 323,076 and 132,160.24

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Solution

The fourth proportional to 234,113.32, 323,076 and 132,160.24 is: 182,380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,113.32 : 323,076 = 132,160.24 : x
  2. Step 2: Convert to fraction form
    234,113.32/323,076 = 132,160.24/x
  3. Step 3: Cross multiply
    234,113.32x = 323,076 × 132,160.24
  4. Step 4: Simplify right side
    234,113.32x = 42,697,801,698.24
  5. Step 5: Solve for x
    x = 42,697,801,698.24/234,113.32
  6. Step 6: Final answer
    x = 182,380.92

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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.