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Finding the Fourth Proportional to 230,514.39, 318,141.07 and 135,059.13

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Solution

The fourth proportional to 230,514.39, 318,141.07 and 135,059.13 is: 186,399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,514.39 : 318,141.07 = 135,059.13 : x
  2. Step 2: Convert to fraction form
    230,514.39/318,141.07 = 135,059.13/x
  3. Step 3: Cross multiply
    230,514.39x = 318,141.07 × 135,059.13
  4. Step 4: Simplify right side
    230,514.39x = 42,967,855,793.82
  5. Step 5: Solve for x
    x = 42,967,855,793.82/230,514.39
  6. Step 6: Final answer
    x = 186,399.89

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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.