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Finding the Fourth Proportional to 230,979.39, 318,742.56 and 144,984.57

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Solution

The fourth proportional to 230,979.39, 318,742.56 and 144,984.57 is: 200,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,979.39 : 318,742.56 = 144,984.57 : x
  2. Step 2: Convert to fraction form
    230,979.39/318,742.56 = 144,984.57/x
  3. Step 3: Cross multiply
    230,979.39x = 318,742.56 × 144,984.57
  4. Step 4: Simplify right side
    230,979.39x = 46,212,753,002.30
  5. Step 5: Solve for x
    x = 46,212,753,002.30/230,979.39
  6. Step 6: Final answer
    x = 200,073.06

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