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Finding the Fourth Proportional to 113,767.20, 170,780.40 and 67,046.40

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Solution

The fourth proportional to 113,767.20, 170,780.40 and 67,046.40 is: 100,645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,767.20 : 170,780.40 = 67,046.40 : x
  2. Step 2: Convert to fraction form
    113,767.20/170,780.40 = 67,046.40/x
  3. Step 3: Cross multiply
    113,767.20x = 170,780.40 × 67,046.40
  4. Step 4: Simplify right side
    113,767.20x = 11,450,211,010.56
  5. Step 5: Solve for x
    x = 11,450,211,010.56/113,767.20
  6. Step 6: Final answer
    x = 100,645.98

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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.