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Finding the Fourth Proportional to 135,909.98, 203,849.12 and 36,077.93

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Solution

The fourth proportional to 135,909.98, 203,849.12 and 36,077.93 is: 54,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,909.98 : 203,849.12 = 36,077.93 : x
  2. Step 2: Convert to fraction form
    135,909.98/203,849.12 = 36,077.93/x
  3. Step 3: Cross multiply
    135,909.98x = 203,849.12 × 36,077.93
  4. Step 4: Simplify right side
    135,909.98x = 7,354,453,082.29
  5. Step 5: Solve for x
    x = 7,354,453,082.29/135,909.98
  6. Step 6: Final answer
    x = 54,112.68

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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.