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Finding the Fourth Proportional to 109,523.80, 164,055.30 and 91,091.80

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Solution

The fourth proportional to 109,523.80, 164,055.30 and 91,091.80 is: 136,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,523.80 : 164,055.30 = 91,091.80 : x
  2. Step 2: Convert to fraction form
    109,523.80/164,055.30 = 91,091.80/x
  3. Step 3: Cross multiply
    109,523.80x = 164,055.30 × 91,091.80
  4. Step 4: Simplify right side
    109,523.80x = 14,944,092,576.54
  5. Step 5: Solve for x
    x = 14,944,092,576.54/109,523.80
  6. Step 6: Final answer
    x = 136,446.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.