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Finding the Fourth Proportional to 204,062.80, 306,094.20 and 85,694.80

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Solution

The fourth proportional to 204,062.80, 306,094.20 and 85,694.80 is: 128,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,062.80 : 306,094.20 = 85,694.80 : x
  2. Step 2: Convert to fraction form
    204,062.80/306,094.20 = 85,694.80/x
  3. Step 3: Cross multiply
    204,062.80x = 306,094.20 × 85,694.80
  4. Step 4: Simplify right side
    204,062.80x = 26,230,681,250.16
  5. Step 5: Solve for x
    x = 26,230,681,250.16/204,062.80
  6. Step 6: Final answer
    x = 128,542.20

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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.