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Finding the Fourth Proportional to 155,489.24, 214,537.14 and 87,493

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Solution

The fourth proportional to 155,489.24, 214,537.14 and 87,493 is: 120,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,489.24 : 214,537.14 = 87,493 : x
  2. Step 2: Convert to fraction form
    155,489.24/214,537.14 = 87,493/x
  3. Step 3: Cross multiply
    155,489.24x = 214,537.14 × 87,493
  4. Step 4: Simplify right side
    155,489.24x = 18,770,497,990.02
  5. Step 5: Solve for x
    x = 18,770,497,990.02/155,489.24
  6. Step 6: Final answer
    x = 120,718.95

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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.