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Finding the Fourth Proportional to 98,204.46, 135,523.08 and 55,763.88

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Solution

The fourth proportional to 98,204.46, 135,523.08 and 55,763.88 is: 76,954.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,204.46 : 135,523.08 = 55,763.88 : x
  2. Step 2: Convert to fraction form
    98,204.46/135,523.08 = 55,763.88/x
  3. Step 3: Cross multiply
    98,204.46x = 135,523.08 × 55,763.88
  4. Step 4: Simplify right side
    98,204.46x = 7,557,292,770.35
  5. Step 5: Solve for x
    x = 7,557,292,770.35/98,204.46
  6. Step 6: Final answer
    x = 76,954.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.