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Finding the Fourth Proportional to 199,661.60, 275,530.92 and 109,017.30

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Solution

The fourth proportional to 199,661.60, 275,530.92 and 109,017.30 is: 150,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,661.60 : 275,530.92 = 109,017.30 : x
  2. Step 2: Convert to fraction form
    199,661.60/275,530.92 = 109,017.30/x
  3. Step 3: Cross multiply
    199,661.60x = 275,530.92 × 109,017.30
  4. Step 4: Simplify right side
    199,661.60x = 30,037,636,964.92
  5. Step 5: Solve for x
    x = 30,037,636,964.92/199,661.60
  6. Step 6: Final answer
    x = 150,442.73

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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.