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Finding the Fourth Proportional to 230,442.75, 345,664.33 and 64,230.75

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Solution

The fourth proportional to 230,442.75, 345,664.33 and 64,230.75 is: 96,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,442.75 : 345,664.33 = 64,230.75 : x
  2. Step 2: Convert to fraction form
    230,442.75/345,664.33 = 64,230.75/x
  3. Step 3: Cross multiply
    230,442.75x = 345,664.33 × 64,230.75
  4. Step 4: Simplify right side
    230,442.75x = 22,202,279,003.57
  5. Step 5: Solve for x
    x = 22,202,279,003.57/230,442.75
  6. Step 6: Final answer
    x = 96,346.18

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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.