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Finding the Fourth Proportional to 120,215.48, 165,867.55 and 77,722.88

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Solution

The fourth proportional to 120,215.48, 165,867.55 and 77,722.88 is: 107,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,215.48 : 165,867.55 = 77,722.88 : x
  2. Step 2: Convert to fraction form
    120,215.48/165,867.55 = 77,722.88/x
  3. Step 3: Cross multiply
    120,215.48x = 165,867.55 × 77,722.88
  4. Step 4: Simplify right side
    120,215.48x = 12,891,702,660.90
  5. Step 5: Solve for x
    x = 12,891,702,660.90/120,215.48
  6. Step 6: Final answer
    x = 107,238.30

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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.