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Finding the Fourth Proportional to 230,297.59, 345,110.40 and 102,059.20

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Solution

The fourth proportional to 230,297.59, 345,110.40 and 102,059.20 is: 152,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,297.59 : 345,110.40 = 102,059.20 : x
  2. Step 2: Convert to fraction form
    230,297.59/345,110.40 = 102,059.20/x
  3. Step 3: Cross multiply
    230,297.59x = 345,110.40 × 102,059.20
  4. Step 4: Simplify right side
    230,297.59x = 35,221,691,335.68
  5. Step 5: Solve for x
    x = 35,221,691,335.68/230,297.59
  6. Step 6: Final answer
    x = 152,939.90

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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.