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Finding the Fourth Proportional to 136,498.20, 204,794 and 83,296.84

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Solution

The fourth proportional to 136,498.20, 204,794 and 83,296.84 is: 124,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,498.20 : 204,794 = 83,296.84 : x
  2. Step 2: Convert to fraction form
    136,498.20/204,794 = 83,296.84/x
  3. Step 3: Cross multiply
    136,498.20x = 204,794 × 83,296.84
  4. Step 4: Simplify right side
    136,498.20x = 17,058,693,050.96
  5. Step 5: Solve for x
    x = 17,058,693,050.96/136,498.20
  6. Step 6: Final answer
    x = 124,973.76

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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.