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Finding the Fourth Proportional to 83,069, 124,399.92 and 75,081.32

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Solution

The fourth proportional to 83,069, 124,399.92 and 75,081.32 is: 112,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,069 : 124,399.92 = 75,081.32 : x
  2. Step 2: Convert to fraction form
    83,069/124,399.92 = 75,081.32/x
  3. Step 3: Cross multiply
    83,069x = 124,399.92 × 75,081.32
  4. Step 4: Simplify right side
    83,069x = 9,340,110,201.49
  5. Step 5: Solve for x
    x = 9,340,110,201.49/83,069
  6. Step 6: Final answer
    x = 112,437.98

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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.