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Finding the Fourth Proportional to 85,469.80, 128,204.70 and 72,785.20

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Solution

The fourth proportional to 85,469.80, 128,204.70 and 72,785.20 is: 109,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,469.80 : 128,204.70 = 72,785.20 : x
  2. Step 2: Convert to fraction form
    85,469.80/128,204.70 = 72,785.20/x
  3. Step 3: Cross multiply
    85,469.80x = 128,204.70 × 72,785.20
  4. Step 4: Simplify right side
    85,469.80x = 9,331,404,730.44
  5. Step 5: Solve for x
    x = 9,331,404,730.44/85,469.80
  6. Step 6: Final answer
    x = 109,177.80

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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.