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Finding the Fourth Proportional to 231,002.56, 318,788.76 and 135,578.08

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Solution

The fourth proportional to 231,002.56, 318,788.76 and 135,578.08 is: 187,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,002.56 : 318,788.76 = 135,578.08 : x
  2. Step 2: Convert to fraction form
    231,002.56/318,788.76 = 135,578.08/x
  3. Step 3: Cross multiply
    231,002.56x = 318,788.76 × 135,578.08
  4. Step 4: Simplify right side
    231,002.56x = 43,220,768,006.38
  5. Step 5: Solve for x
    x = 43,220,768,006.38/231,002.56
  6. Step 6: Final answer
    x = 187,100.82

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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.