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Finding the Fourth Proportional to 283,561.53, 425,340.75 and 83,882.97

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Solution

The fourth proportional to 283,561.53, 425,340.75 and 83,882.97 is: 125,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,561.53 : 425,340.75 = 83,882.97 : x
  2. Step 2: Convert to fraction form
    283,561.53/425,340.75 = 83,882.97/x
  3. Step 3: Cross multiply
    283,561.53x = 425,340.75 × 83,882.97
  4. Step 4: Simplify right side
    283,561.53x = 35,678,845,372.03
  5. Step 5: Solve for x
    x = 35,678,845,372.03/283,561.53
  6. Step 6: Final answer
    x = 125,824.00

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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.