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Finding the Fourth Proportional to 135,593.60, 203,422.80 and 65,415.20

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Solution

The fourth proportional to 135,593.60, 203,422.80 and 65,415.20 is: 98,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,593.60 : 203,422.80 = 65,415.20 : x
  2. Step 2: Convert to fraction form
    135,593.60/203,422.80 = 65,415.20/x
  3. Step 3: Cross multiply
    135,593.60x = 203,422.80 × 65,415.20
  4. Step 4: Simplify right side
    135,593.60x = 13,306,943,146.56
  5. Step 5: Solve for x
    x = 13,306,943,146.56/135,593.60
  6. Step 6: Final answer
    x = 98,138.43

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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.