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Finding the Fourth Proportional to 232,872.60, 349,731.30 and 203,842.20

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Solution

The fourth proportional to 232,872.60, 349,731.30 and 203,842.20 is: 306,133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,872.60 : 349,731.30 = 203,842.20 : x
  2. Step 2: Convert to fraction form
    232,872.60/349,731.30 = 203,842.20/x
  3. Step 3: Cross multiply
    232,872.60x = 349,731.30 × 203,842.20
  4. Step 4: Simplify right side
    232,872.60x = 71,289,997,600.86
  5. Step 5: Solve for x
    x = 71,289,997,600.86/232,872.60
  6. Step 6: Final answer
    x = 306,133.04

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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.