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Finding the Fourth Proportional to 272,755.58, 409,195.28 and 83,232.86

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Solution

The fourth proportional to 272,755.58, 409,195.28 and 83,232.86 is: 124,868.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,755.58 : 409,195.28 = 83,232.86 : x
  2. Step 2: Convert to fraction form
    272,755.58/409,195.28 = 83,232.86/x
  3. Step 3: Cross multiply
    272,755.58x = 409,195.28 × 83,232.86
  4. Step 4: Simplify right side
    272,755.58x = 34,058,493,452.90
  5. Step 5: Solve for x
    x = 34,058,493,452.90/272,755.58
  6. Step 6: Final answer
    x = 124,868.18

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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.