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Finding the Fourth Proportional to 120,224.90, 165,905.38 and 65,776.80

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Solution

The fourth proportional to 120,224.90, 165,905.38 and 65,776.80 is: 90,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,224.90 : 165,905.38 = 65,776.80 : x
  2. Step 2: Convert to fraction form
    120,224.90/165,905.38 = 65,776.80/x
  3. Step 3: Cross multiply
    120,224.90x = 165,905.38 × 65,776.80
  4. Step 4: Simplify right side
    120,224.90x = 10,912,725,703.55
  5. Step 5: Solve for x
    x = 10,912,725,703.55/120,224.90
  6. Step 6: Final answer
    x = 90,769.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.