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Finding the Fourth Proportional to 159,269.76, 238,624.38 and 149,787.90

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Solution

The fourth proportional to 159,269.76, 238,624.38 and 149,787.90 is: 224,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,269.76 : 238,624.38 = 149,787.90 : x
  2. Step 2: Convert to fraction form
    159,269.76/238,624.38 = 149,787.90/x
  3. Step 3: Cross multiply
    159,269.76x = 238,624.38 × 149,787.90
  4. Step 4: Simplify right side
    159,269.76x = 35,743,044,546.91
  5. Step 5: Solve for x
    x = 35,743,044,546.91/159,269.76
  6. Step 6: Final answer
    x = 224,418.28

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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.