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Finding the Fourth Proportional to 120,024.20, 165,633.78 and 66,312.20

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Solution

The fourth proportional to 120,024.20, 165,633.78 and 66,312.20 is: 91,511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,024.20 : 165,633.78 = 66,312.20 : x
  2. Step 2: Convert to fraction form
    120,024.20/165,633.78 = 66,312.20/x
  3. Step 3: Cross multiply
    120,024.20x = 165,633.78 × 66,312.20
  4. Step 4: Simplify right side
    120,024.20x = 10,983,540,346.12
  5. Step 5: Solve for x
    x = 10,983,540,346.12/120,024.20
  6. Step 6: Final answer
    x = 91,511.05

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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.