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Finding the Fourth Proportional to 272,200.80, 408,272.40 and 85,202.40

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Solution

The fourth proportional to 272,200.80, 408,272.40 and 85,202.40 is: 127,794.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,200.80 : 408,272.40 = 85,202.40 : x
  2. Step 2: Convert to fraction form
    272,200.80/408,272.40 = 85,202.40/x
  3. Step 3: Cross multiply
    272,200.80x = 408,272.40 × 85,202.40
  4. Step 4: Simplify right side
    272,200.80x = 34,785,788,333.76
  5. Step 5: Solve for x
    x = 34,785,788,333.76/272,200.80
  6. Step 6: Final answer
    x = 127,794.59

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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.