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Finding the Fourth Proportional to 149,518.38, 206,333.72 and 81,535.14

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Solution

The fourth proportional to 149,518.38, 206,333.72 and 81,535.14 is: 112,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,518.38 : 206,333.72 = 81,535.14 : x
  2. Step 2: Convert to fraction form
    149,518.38/206,333.72 = 81,535.14/x
  3. Step 3: Cross multiply
    149,518.38x = 206,333.72 × 81,535.14
  4. Step 4: Simplify right side
    149,518.38x = 16,823,448,746.92
  5. Step 5: Solve for x
    x = 16,823,448,746.92/149,518.38
  6. Step 6: Final answer
    x = 112,517.60

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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.