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Finding the Fourth Proportional to 200,432.22, 276,596.13 and 109,792

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Solution

The fourth proportional to 200,432.22, 276,596.13 and 109,792 is: 151,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,432.22 : 276,596.13 = 109,792 : x
  2. Step 2: Convert to fraction form
    200,432.22/276,596.13 = 109,792/x
  3. Step 3: Cross multiply
    200,432.22x = 276,596.13 × 109,792
  4. Step 4: Simplify right side
    200,432.22x = 30,368,042,304.96
  5. Step 5: Solve for x
    x = 30,368,042,304.96/200,432.22
  6. Step 6: Final answer
    x = 151,512.78

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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.