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Finding the Fourth Proportional to 199,847.78, 275,793.54 and 109,207.52

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Solution

The fourth proportional to 199,847.78, 275,793.54 and 109,207.52 is: 150,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,847.78 : 275,793.54 = 109,207.52 : x
  2. Step 2: Convert to fraction form
    199,847.78/275,793.54 = 109,207.52/x
  3. Step 3: Cross multiply
    199,847.78x = 275,793.54 × 109,207.52
  4. Step 4: Simplify right side
    199,847.78x = 30,118,728,535.42
  5. Step 5: Solve for x
    x = 30,118,728,535.42/199,847.78
  6. Step 6: Final answer
    x = 150,708.35

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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.