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Finding the Fourth Proportional to 230,489.92, 318,154.80 and 135,027.04

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Solution

The fourth proportional to 230,489.92, 318,154.80 and 135,027.04 is: 186,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,489.92 : 318,154.80 = 135,027.04 : x
  2. Step 2: Convert to fraction form
    230,489.92/318,154.80 = 135,027.04/x
  3. Step 3: Cross multiply
    230,489.92x = 318,154.80 × 135,027.04
  4. Step 4: Simplify right side
    230,489.92x = 42,959,500,905.79
  5. Step 5: Solve for x
    x = 42,959,500,905.79/230,489.92
  6. Step 6: Final answer
    x = 186,383.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.