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Finding the Fourth Proportional to 253,793.34, 380,713.49 and 83,016.02

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Solution

The fourth proportional to 253,793.34, 380,713.49 and 83,016.02 is: 124,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,793.34 : 380,713.49 = 83,016.02 : x
  2. Step 2: Convert to fraction form
    253,793.34/380,713.49 = 83,016.02/x
  3. Step 3: Cross multiply
    253,793.34x = 380,713.49 × 83,016.02
  4. Step 4: Simplify right side
    253,793.34x = 31,605,318,700.11
  5. Step 5: Solve for x
    x = 31,605,318,700.11/253,793.34
  6. Step 6: Final answer
    x = 124,531.71

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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.