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Finding the Fourth Proportional to 149,132.41, 205,803.65 and 81,149.92

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Solution

The fourth proportional to 149,132.41, 205,803.65 and 81,149.92 is: 111,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,132.41 : 205,803.65 = 81,149.92 : x
  2. Step 2: Convert to fraction form
    149,132.41/205,803.65 = 81,149.92/x
  3. Step 3: Cross multiply
    149,132.41x = 205,803.65 × 81,149.92
  4. Step 4: Simplify right side
    149,132.41x = 16,700,949,421.57
  5. Step 5: Solve for x
    x = 16,700,949,421.57/149,132.41
  6. Step 6: Final answer
    x = 111,987.39

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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.