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Finding the Fourth Proportional to 199,608.60, 275,460.65 and 108,966.57

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Solution

The fourth proportional to 199,608.60, 275,460.65 and 108,966.57 is: 150,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,608.60 : 275,460.65 = 108,966.57 : x
  2. Step 2: Convert to fraction form
    199,608.60/275,460.65 = 108,966.57/x
  3. Step 3: Cross multiply
    199,608.60x = 275,460.65 × 108,966.57
  4. Step 4: Simplify right side
    199,608.60x = 30,016,001,031.28
  5. Step 5: Solve for x
    x = 30,016,001,031.28/199,608.60
  6. Step 6: Final answer
    x = 150,374.28

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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.