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Finding the Fourth Proportional to 110,521.30, 165,781.95 and 82,873.30

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Solution

The fourth proportional to 110,521.30, 165,781.95 and 82,873.30 is: 124,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,521.30 : 165,781.95 = 82,873.30 : x
  2. Step 2: Convert to fraction form
    110,521.30/165,781.95 = 82,873.30/x
  3. Step 3: Cross multiply
    110,521.30x = 165,781.95 × 82,873.30
  4. Step 4: Simplify right side
    110,521.30x = 13,738,897,276.94
  5. Step 5: Solve for x
    x = 13,738,897,276.94/110,521.30
  6. Step 6: Final answer
    x = 124,309.95

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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.