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Finding the Fourth Proportional to 200,358.26, 276,494.87 and 109,720.16

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Solution

The fourth proportional to 200,358.26, 276,494.87 and 109,720.16 is: 151,414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,358.26 : 276,494.87 = 109,720.16 : x
  2. Step 2: Convert to fraction form
    200,358.26/276,494.87 = 109,720.16/x
  3. Step 3: Cross multiply
    200,358.26x = 276,494.87 × 109,720.16
  4. Step 4: Simplify right side
    200,358.26x = 30,337,060,826.98
  5. Step 5: Solve for x
    x = 30,337,060,826.98/200,358.26
  6. Step 6: Final answer
    x = 151,414.08

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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.