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Finding the Fourth Proportional to 230,057.60, 345,098.10 and 72,287.60

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Solution

The fourth proportional to 230,057.60, 345,098.10 and 72,287.60 is: 108,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,057.60 : 345,098.10 = 72,287.60 : x
  2. Step 2: Convert to fraction form
    230,057.60/345,098.10 = 72,287.60/x
  3. Step 3: Cross multiply
    230,057.60x = 345,098.10 × 72,287.60
  4. Step 4: Simplify right side
    230,057.60x = 24,946,313,413.56
  5. Step 5: Solve for x
    x = 24,946,313,413.56/230,057.60
  6. Step 6: Final answer
    x = 108,435.08

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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.