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Finding the Fourth Proportional to 120,202.44, 165,878.52 and 71,826.44

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Solution

The fourth proportional to 120,202.44, 165,878.52 and 71,826.44 is: 99,119.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,202.44 : 165,878.52 = 71,826.44 : x
  2. Step 2: Convert to fraction form
    120,202.44/165,878.52 = 71,826.44/x
  3. Step 3: Cross multiply
    120,202.44x = 165,878.52 × 71,826.44
  4. Step 4: Simplify right side
    120,202.44x = 11,914,463,564.07
  5. Step 5: Solve for x
    x = 11,914,463,564.07/120,202.44
  6. Step 6: Final answer
    x = 99,119.98

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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.