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Finding the Fourth Proportional to 144,010.31, 198,714.47 and 80,335.80

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Solution

The fourth proportional to 144,010.31, 198,714.47 and 80,335.80 is: 110,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,010.31 : 198,714.47 = 80,335.80 : x
  2. Step 2: Convert to fraction form
    144,010.31/198,714.47 = 80,335.80/x
  3. Step 3: Cross multiply
    144,010.31x = 198,714.47 × 80,335.80
  4. Step 4: Simplify right side
    144,010.31x = 15,963,885,517.35
  5. Step 5: Solve for x
    x = 15,963,885,517.35/144,010.31
  6. Step 6: Final answer
    x = 110,852.38

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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.