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Finding the Fourth Proportional to 254,920.20, 382,387.56 and 86,441

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Solution

The fourth proportional to 254,920.20, 382,387.56 and 86,441 is: 129,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,920.20 : 382,387.56 = 86,441 : x
  2. Step 2: Convert to fraction form
    254,920.20/382,387.56 = 86,441/x
  3. Step 3: Cross multiply
    254,920.20x = 382,387.56 × 86,441
  4. Step 4: Simplify right side
    254,920.20x = 33,053,963,073.96
  5. Step 5: Solve for x
    x = 33,053,963,073.96/254,920.20
  6. Step 6: Final answer
    x = 129,663.96

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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.