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Finding the Fourth Proportional to 272,982.80, 409,531.80 and 86,013.20

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Solution

The fourth proportional to 272,982.80, 409,531.80 and 86,013.20 is: 129,037.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,982.80 : 409,531.80 = 86,013.20 : x
  2. Step 2: Convert to fraction form
    272,982.80/409,531.80 = 86,013.20/x
  3. Step 3: Cross multiply
    272,982.80x = 409,531.80 × 86,013.20
  4. Step 4: Simplify right side
    272,982.80x = 35,225,140,619.76
  5. Step 5: Solve for x
    x = 35,225,140,619.76/272,982.80
  6. Step 6: Final answer
    x = 129,037.95

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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.