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Finding the Fourth Proportional to 135,355.80, 202,596.30 and 105,612.60

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Solution

The fourth proportional to 135,355.80, 202,596.30 and 105,612.60 is: 158,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,355.80 : 202,596.30 = 105,612.60 : x
  2. Step 2: Convert to fraction form
    135,355.80/202,596.30 = 105,612.60/x
  3. Step 3: Cross multiply
    135,355.80x = 202,596.30 × 105,612.60
  4. Step 4: Simplify right side
    135,355.80x = 21,396,721,993.38
  5. Step 5: Solve for x
    x = 21,396,721,993.38/135,355.80
  6. Step 6: Final answer
    x = 158,077.61

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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.