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Finding the Fourth Proportional to 200,348.72, 276,487.49 and 109,713.29

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Solution

The fourth proportional to 200,348.72, 276,487.49 and 109,713.29 is: 151,407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,348.72 : 276,487.49 = 109,713.29 : x
  2. Step 2: Convert to fraction form
    200,348.72/276,487.49 = 109,713.29/x
  3. Step 3: Cross multiply
    200,348.72x = 276,487.49 × 109,713.29
  4. Step 4: Simplify right side
    200,348.72x = 30,334,350,600.73
  5. Step 5: Solve for x
    x = 30,334,350,600.73/200,348.72
  6. Step 6: Final answer
    x = 151,407.76

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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.