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Finding the Fourth Proportional to 283,538, 425,385.82 and 123,627.92

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Solution

The fourth proportional to 283,538, 425,385.82 and 123,627.92 is: 185,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,538 : 425,385.82 = 123,627.92 : x
  2. Step 2: Convert to fraction form
    283,538/425,385.82 = 123,627.92/x
  3. Step 3: Cross multiply
    283,538x = 425,385.82 × 123,627.92
  4. Step 4: Simplify right side
    283,538x = 52,589,564,124.09
  5. Step 5: Solve for x
    x = 52,589,564,124.09/283,538
  6. Step 6: Final answer
    x = 185,476.25

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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.