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Finding the Fourth Proportional to 283,793.22, 425,731.14 and 84,087.72

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Solution

The fourth proportional to 283,793.22, 425,731.14 and 84,087.72 is: 126,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,793.22 : 425,731.14 = 84,087.72 : x
  2. Step 2: Convert to fraction form
    283,793.22/425,731.14 = 84,087.72/x
  3. Step 3: Cross multiply
    283,793.22x = 425,731.14 × 84,087.72
  4. Step 4: Simplify right side
    283,793.22x = 35,798,760,895.60
  5. Step 5: Solve for x
    x = 35,798,760,895.60/283,793.22
  6. Step 6: Final answer
    x = 126,143.82

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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.