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Finding the Fourth Proportional to 135,993.32, 203,844.14 and 65,776.04

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Solution

The fourth proportional to 135,993.32, 203,844.14 and 65,776.04 is: 98,593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,993.32 : 203,844.14 = 65,776.04 : x
  2. Step 2: Convert to fraction form
    135,993.32/203,844.14 = 65,776.04/x
  3. Step 3: Cross multiply
    135,993.32x = 203,844.14 × 65,776.04
  4. Step 4: Simplify right side
    135,993.32x = 13,408,060,306.41
  5. Step 5: Solve for x
    x = 13,408,060,306.41/135,993.32
  6. Step 6: Final answer
    x = 98,593.52

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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.