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Finding the Fourth Proportional to 200,487.89, 276,673.28 and 109,847.28

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Solution

The fourth proportional to 200,487.89, 276,673.28 and 109,847.28 is: 151,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,487.89 : 276,673.28 = 109,847.28 : x
  2. Step 2: Convert to fraction form
    200,487.89/276,673.28 = 109,847.28/x
  3. Step 3: Cross multiply
    200,487.89x = 276,673.28 × 109,847.28
  4. Step 4: Simplify right side
    200,487.89x = 30,391,807,744.97
  5. Step 5: Solve for x
    x = 30,391,807,744.97/200,487.89
  6. Step 6: Final answer
    x = 151,589.24

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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.