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Finding the Fourth Proportional to 149,005.95, 205,627.10 and 81,022.97

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Solution

The fourth proportional to 149,005.95, 205,627.10 and 81,022.97 is: 111,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,005.95 : 205,627.10 = 81,022.97 : x
  2. Step 2: Convert to fraction form
    149,005.95/205,627.10 = 81,022.97/x
  3. Step 3: Cross multiply
    149,005.95x = 205,627.10 × 81,022.97
  4. Step 4: Simplify right side
    149,005.95x = 16,660,517,528.91
  5. Step 5: Solve for x
    x = 16,660,517,528.91/149,005.95
  6. Step 6: Final answer
    x = 111,811.09

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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.