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Finding the Fourth Proportional to 149,009.38, 205,634.01 and 81,026.26

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Solution

The fourth proportional to 149,009.38, 205,634.01 and 81,026.26 is: 111,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,009.38 : 205,634.01 = 81,026.26 : x
  2. Step 2: Convert to fraction form
    149,009.38/205,634.01 = 81,026.26/x
  3. Step 3: Cross multiply
    149,009.38x = 205,634.01 × 81,026.26
  4. Step 4: Simplify right side
    149,009.38x = 16,661,754,759.10
  5. Step 5: Solve for x
    x = 16,661,754,759.10/149,009.38
  6. Step 6: Final answer
    x = 111,816.82

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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.