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Finding the Fourth Proportional to 199,792.66, 275,719.22 and 109,152.44

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Solution

The fourth proportional to 199,792.66, 275,719.22 and 109,152.44 is: 150,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,792.66 : 275,719.22 = 109,152.44 : x
  2. Step 2: Convert to fraction form
    199,792.66/275,719.22 = 109,152.44/x
  3. Step 3: Cross multiply
    199,792.66x = 275,719.22 × 109,152.44
  4. Step 4: Simplify right side
    199,792.66x = 30,095,425,617.90
  5. Step 5: Solve for x
    x = 30,095,425,617.90/199,792.66
  6. Step 6: Final answer
    x = 150,633.29

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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.