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Finding the Fourth Proportional to 199,651.84, 275,512.32 and 110,225.92

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Solution

The fourth proportional to 199,651.84, 275,512.32 and 110,225.92 is: 152,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,651.84 : 275,512.32 = 110,225.92 : x
  2. Step 2: Convert to fraction form
    199,651.84/275,512.32 = 110,225.92/x
  3. Step 3: Cross multiply
    199,651.84x = 275,512.32 × 110,225.92
  4. Step 4: Simplify right side
    199,651.84x = 30,368,598,943.33
  5. Step 5: Solve for x
    x = 30,368,598,943.33/199,651.84
  6. Step 6: Final answer
    x = 152,107.78

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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.