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Finding the Fourth Proportional to 120,223.45, 165,856.21 and 72,449.65

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Solution

The fourth proportional to 120,223.45, 165,856.21 and 72,449.65 is: 99,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,223.45 : 165,856.21 = 72,449.65 : x
  2. Step 2: Convert to fraction form
    120,223.45/165,856.21 = 72,449.65/x
  3. Step 3: Cross multiply
    120,223.45x = 165,856.21 × 72,449.65
  4. Step 4: Simplify right side
    120,223.45x = 12,016,224,364.83
  5. Step 5: Solve for x
    x = 12,016,224,364.83/120,223.45
  6. Step 6: Final answer
    x = 99,949.09

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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.