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Finding the Fourth Proportional to 135,436.80, 202,960.80 and 99,618.60

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Solution

The fourth proportional to 135,436.80, 202,960.80 and 99,618.60 is: 149,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,436.80 : 202,960.80 = 99,618.60 : x
  2. Step 2: Convert to fraction form
    135,436.80/202,960.80 = 99,618.60/x
  3. Step 3: Cross multiply
    135,436.80x = 202,960.80 × 99,618.60
  4. Step 4: Simplify right side
    135,436.80x = 20,218,670,750.88
  5. Step 5: Solve for x
    x = 20,218,670,750.88/135,436.80
  6. Step 6: Final answer
    x = 149,284.91

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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.