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Finding the Fourth Proportional to 199,659.43, 299,012.86 and 110,692.27

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Solution

The fourth proportional to 199,659.43, 299,012.86 and 110,692.27 is: 165,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,659.43 : 299,012.86 = 110,692.27 : x
  2. Step 2: Convert to fraction form
    199,659.43/299,012.86 = 110,692.27/x
  3. Step 3: Cross multiply
    199,659.43x = 299,012.86 × 110,692.27
  4. Step 4: Simplify right side
    199,659.43x = 33,098,412,232.59
  5. Step 5: Solve for x
    x = 33,098,412,232.59/199,659.43
  6. Step 6: Final answer
    x = 165,774.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.