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Finding the Fourth Proportional to 113,874.32, 170,811.80 and 67,062.80

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Solution

The fourth proportional to 113,874.32, 170,811.80 and 67,062.80 is: 100,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,874.32 : 170,811.80 = 67,062.80 : x
  2. Step 2: Convert to fraction form
    113,874.32/170,811.80 = 67,062.80/x
  3. Step 3: Cross multiply
    113,874.32x = 170,811.80 × 67,062.80
  4. Step 4: Simplify right side
    113,874.32x = 11,455,117,581.04
  5. Step 5: Solve for x
    x = 11,455,117,581.04/113,874.32
  6. Step 6: Final answer
    x = 100,594.39

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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.