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Finding the Fourth Proportional to 136,169.46, 204,254.28 and 42,682.50

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Solution

The fourth proportional to 136,169.46, 204,254.28 and 42,682.50 is: 64,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,169.46 : 204,254.28 = 42,682.50 : x
  2. Step 2: Convert to fraction form
    136,169.46/204,254.28 = 42,682.50/x
  3. Step 3: Cross multiply
    136,169.46x = 204,254.28 × 42,682.50
  4. Step 4: Simplify right side
    136,169.46x = 8,718,083,306.10
  5. Step 5: Solve for x
    x = 8,718,083,306.10/136,169.46
  6. Step 6: Final answer
    x = 64,023.78

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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.