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Finding the Fourth Proportional to 283,546.58, 425,402.90 and 83,872.28

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Solution

The fourth proportional to 283,546.58, 425,402.90 and 83,872.28 is: 125,832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,546.58 : 425,402.90 = 83,872.28 : x
  2. Step 2: Convert to fraction form
    283,546.58/425,402.90 = 83,872.28/x
  3. Step 3: Cross multiply
    283,546.58x = 425,402.90 × 83,872.28
  4. Step 4: Simplify right side
    283,546.58x = 35,679,510,179.17
  5. Step 5: Solve for x
    x = 35,679,510,179.17/283,546.58
  6. Step 6: Final answer
    x = 125,832.98

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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.