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Finding the Fourth Proportional to 173,115.20, 259,672.80 and 149,787.20

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Solution

The fourth proportional to 173,115.20, 259,672.80 and 149,787.20 is: 224,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,115.20 : 259,672.80 = 149,787.20 : x
  2. Step 2: Convert to fraction form
    173,115.20/259,672.80 = 149,787.20/x
  3. Step 3: Cross multiply
    173,115.20x = 259,672.80 × 149,787.20
  4. Step 4: Simplify right side
    173,115.20x = 38,895,661,628.16
  5. Step 5: Solve for x
    x = 38,895,661,628.16/173,115.20
  6. Step 6: Final answer
    x = 224,680.80

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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.