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Finding the Fourth Proportional to 120,241.49, 165,914.60 and 69,256.44

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Solution

The fourth proportional to 120,241.49, 165,914.60 and 69,256.44 is: 95,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,241.49 : 165,914.60 = 69,256.44 : x
  2. Step 2: Convert to fraction form
    120,241.49/165,914.60 = 69,256.44/x
  3. Step 3: Cross multiply
    120,241.49x = 165,914.60 × 69,256.44
  4. Step 4: Simplify right side
    120,241.49x = 11,490,654,193.74
  5. Step 5: Solve for x
    x = 11,490,654,193.74/120,241.49
  6. Step 6: Final answer
    x = 95,563.14

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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.