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Finding the Fourth Proportional to 135,097.60, 202,627.20 and 41,612.80

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Solution

The fourth proportional to 135,097.60, 202,627.20 and 41,612.80 is: 62,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,097.60 : 202,627.20 = 41,612.80 : x
  2. Step 2: Convert to fraction form
    135,097.60/202,627.20 = 41,612.80/x
  3. Step 3: Cross multiply
    135,097.60x = 202,627.20 × 41,612.80
  4. Step 4: Simplify right side
    135,097.60x = 8,431,885,148.16
  5. Step 5: Solve for x
    x = 8,431,885,148.16/135,097.60
  6. Step 6: Final answer
    x = 62,413.29

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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.