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Finding the Fourth Proportional to 199,952.85, 275,923.77 and 109,290.77

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Solution

The fourth proportional to 199,952.85, 275,923.77 and 109,290.77 is: 150,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,952.85 : 275,923.77 = 109,290.77 : x
  2. Step 2: Convert to fraction form
    199,952.85/275,923.77 = 109,290.77/x
  3. Step 3: Cross multiply
    199,952.85x = 275,923.77 × 109,290.77
  4. Step 4: Simplify right side
    199,952.85x = 30,155,920,529.86
  5. Step 5: Solve for x
    x = 30,155,920,529.86/199,952.85
  6. Step 6: Final answer
    x = 150,815.15

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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.