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Finding the Fourth Proportional to 283,513.77, 425,353.68 and 83,839.32

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Solution

The fourth proportional to 283,513.77, 425,353.68 and 83,839.32 is: 125,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,513.77 : 425,353.68 = 83,839.32 : x
  2. Step 2: Convert to fraction form
    283,513.77/425,353.68 = 83,839.32/x
  3. Step 3: Cross multiply
    283,513.77x = 425,353.68 × 83,839.32
  4. Step 4: Simplify right side
    283,513.77x = 35,661,363,290.70
  5. Step 5: Solve for x
    x = 35,661,363,290.70/283,513.77
  6. Step 6: Final answer
    x = 125,783.53

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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.