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Finding the Fourth Proportional to 168,849, 253,360.98 and 85,743

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Solution

The fourth proportional to 168,849, 253,360.98 and 85,743 is: 128,658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,849 : 253,360.98 = 85,743 : x
  2. Step 2: Convert to fraction form
    168,849/253,360.98 = 85,743/x
  3. Step 3: Cross multiply
    168,849x = 253,360.98 × 85,743
  4. Step 4: Simplify right side
    168,849x = 21,723,930,508.14
  5. Step 5: Solve for x
    x = 21,723,930,508.14/168,849
  6. Step 6: Final answer
    x = 128,658.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.