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Finding the Fourth Proportional to 199,687, 275,568.54 and 109,043.14

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Solution

The fourth proportional to 199,687, 275,568.54 and 109,043.14 is: 150,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,687 : 275,568.54 = 109,043.14 : x
  2. Step 2: Convert to fraction form
    199,687/275,568.54 = 109,043.14/x
  3. Step 3: Cross multiply
    199,687x = 275,568.54 × 109,043.14
  4. Step 4: Simplify right side
    199,687x = 30,048,858,886.82
  5. Step 5: Solve for x
    x = 30,048,858,886.82/199,687
  6. Step 6: Final answer
    x = 150,479.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.