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Finding the Fourth Proportional to 230,705.43, 345,432.81 and 119,664.15

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Solution

The fourth proportional to 230,705.43, 345,432.81 and 119,664.15 is: 179,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,705.43 : 345,432.81 = 119,664.15 : x
  2. Step 2: Convert to fraction form
    230,705.43/345,432.81 = 119,664.15/x
  3. Step 3: Cross multiply
    230,705.43x = 345,432.81 × 119,664.15
  4. Step 4: Simplify right side
    230,705.43x = 41,335,923,590.76
  5. Step 5: Solve for x
    x = 41,335,923,590.76/230,705.43
  6. Step 6: Final answer
    x = 179,171.87

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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.