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Finding the Fourth Proportional to 199,830.96, 275,763.52 and 109,184.96

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Solution

The fourth proportional to 199,830.96, 275,763.52 and 109,184.96 is: 150,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,830.96 : 275,763.52 = 109,184.96 : x
  2. Step 2: Convert to fraction form
    199,830.96/275,763.52 = 109,184.96/x
  3. Step 3: Cross multiply
    199,830.96x = 275,763.52 × 109,184.96
  4. Step 4: Simplify right side
    199,830.96x = 30,109,228,900.66
  5. Step 5: Solve for x
    x = 30,109,228,900.66/199,830.96
  6. Step 6: Final answer
    x = 150,673.49

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1.5x scale

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.