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Finding the Fourth Proportional to 312,126.32, 467,965.92 and 132,223.88

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Solution

The fourth proportional to 312,126.32, 467,965.92 and 132,223.88 is: 198,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,126.32 : 467,965.92 = 132,223.88 : x
  2. Step 2: Convert to fraction form
    312,126.32/467,965.92 = 132,223.88/x
  3. Step 3: Cross multiply
    312,126.32x = 467,965.92 × 132,223.88
  4. Step 4: Simplify right side
    312,126.32x = 61,876,269,650.17
  5. Step 5: Solve for x
    x = 61,876,269,650.17/312,126.32
  6. Step 6: Final answer
    x = 198,241.11

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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.