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Finding the Fourth Proportional to 135,617.10, 203,425.65 and 42,132.30

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Solution

The fourth proportional to 135,617.10, 203,425.65 and 42,132.30 is: 63,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,617.10 : 203,425.65 = 42,132.30 : x
  2. Step 2: Convert to fraction form
    135,617.10/203,425.65 = 42,132.30/x
  3. Step 3: Cross multiply
    135,617.10x = 203,425.65 × 42,132.30
  4. Step 4: Simplify right side
    135,617.10x = 8,570,790,513.50
  5. Step 5: Solve for x
    x = 8,570,790,513.50/135,617.10
  6. Step 6: Final answer
    x = 63,198.45

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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.