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Finding the Fourth Proportional to 267,232.80, 400,852.56 and 80,233.44

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Solution

The fourth proportional to 267,232.80, 400,852.56 and 80,233.44 is: 120,351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,232.80 : 400,852.56 = 80,233.44 : x
  2. Step 2: Convert to fraction form
    267,232.80/400,852.56 = 80,233.44/x
  3. Step 3: Cross multiply
    267,232.80x = 400,852.56 × 80,233.44
  4. Step 4: Simplify right side
    267,232.80x = 32,161,779,821.61
  5. Step 5: Solve for x
    x = 32,161,779,821.61/267,232.80
  6. Step 6: Final answer
    x = 120,351.17

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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.