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Finding the Fourth Proportional to 169,531.26, 233,929.26 and 101,532.30

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Solution

The fourth proportional to 169,531.26, 233,929.26 and 101,532.30 is: 140,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,531.26 : 233,929.26 = 101,532.30 : x
  2. Step 2: Convert to fraction form
    169,531.26/233,929.26 = 101,532.30/x
  3. Step 3: Cross multiply
    169,531.26x = 233,929.26 × 101,532.30
  4. Step 4: Simplify right side
    169,531.26x = 23,751,375,805.10
  5. Step 5: Solve for x
    x = 23,751,375,805.10/169,531.26
  6. Step 6: Final answer
    x = 140,100.27

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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.