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Finding the Fourth Proportional to 135,616.75, 203,425.14 and 52,510.75

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Solution

The fourth proportional to 135,616.75, 203,425.14 and 52,510.75 is: 78,766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,616.75 : 203,425.14 = 52,510.75 : x
  2. Step 2: Convert to fraction form
    135,616.75/203,425.14 = 52,510.75/x
  3. Step 3: Cross multiply
    135,616.75x = 203,425.14 × 52,510.75
  4. Step 4: Simplify right side
    135,616.75x = 10,682,006,670.26
  5. Step 5: Solve for x
    x = 10,682,006,670.26/135,616.75
  6. Step 6: Final answer
    x = 78,766.13

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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.