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Finding the Fourth Proportional to 188,026.97, 259,461.80 and 103,144.04

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Solution

The fourth proportional to 188,026.97, 259,461.80 and 103,144.04 is: 142,330.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,026.97 : 259,461.80 = 103,144.04 : x
  2. Step 2: Convert to fraction form
    188,026.97/259,461.80 = 103,144.04/x
  3. Step 3: Cross multiply
    188,026.97x = 259,461.80 × 103,144.04
  4. Step 4: Simplify right side
    188,026.97x = 26,761,936,851.43
  5. Step 5: Solve for x
    x = 26,761,936,851.43/188,026.97
  6. Step 6: Final answer
    x = 142,330.31

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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.