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Finding the Fourth Proportional to 110,272.30, 165,080.40 and 65,876.20

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Solution

The fourth proportional to 110,272.30, 165,080.40 and 65,876.20 is: 98,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,272.30 : 165,080.40 = 65,876.20 : x
  2. Step 2: Convert to fraction form
    110,272.30/165,080.40 = 65,876.20/x
  3. Step 3: Cross multiply
    110,272.30x = 165,080.40 × 65,876.20
  4. Step 4: Simplify right side
    110,272.30x = 10,874,869,446.48
  5. Step 5: Solve for x
    x = 10,874,869,446.48/110,272.30
  6. Step 6: Final answer
    x = 98,618.32

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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.