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Finding the Fourth Proportional to 113,822.70, 170,863.65 and 67,101.90

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Solution

The fourth proportional to 113,822.70, 170,863.65 and 67,101.90 is: 100,729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,822.70 : 170,863.65 = 67,101.90 : x
  2. Step 2: Convert to fraction form
    113,822.70/170,863.65 = 67,101.90/x
  3. Step 3: Cross multiply
    113,822.70x = 170,863.65 × 67,101.90
  4. Step 4: Simplify right side
    113,822.70x = 11,465,275,555.94
  5. Step 5: Solve for x
    x = 11,465,275,555.94/113,822.70
  6. Step 6: Final answer
    x = 100,729.25

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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.