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Finding the Fourth Proportional to 75,861.60, 113,215.56 and 67,454.26

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Solution

The fourth proportional to 75,861.60, 113,215.56 and 67,454.26 is: 100,668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,861.60 : 113,215.56 = 67,454.26 : x
  2. Step 2: Convert to fraction form
    75,861.60/113,215.56 = 67,454.26/x
  3. Step 3: Cross multiply
    75,861.60x = 113,215.56 × 67,454.26
  4. Step 4: Simplify right side
    75,861.60x = 7,636,871,820.29
  5. Step 5: Solve for x
    x = 7,636,871,820.29/75,861.60
  6. Step 6: Final answer
    x = 100,668.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.