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Finding the Fourth Proportional to 234,784.31, 351,945 and 150,304.14

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Solution

The fourth proportional to 234,784.31, 351,945 and 150,304.14 is: 225,308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,784.31 : 351,945 = 150,304.14 : x
  2. Step 2: Convert to fraction form
    234,784.31/351,945 = 150,304.14/x
  3. Step 3: Cross multiply
    234,784.31x = 351,945 × 150,304.14
  4. Step 4: Simplify right side
    234,784.31x = 52,898,790,552.30
  5. Step 5: Solve for x
    x = 52,898,790,552.30/234,784.31
  6. Step 6: Final answer
    x = 225,308.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.