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Finding the Fourth Proportional to 120,639.78, 180,932.10 and 45,768.24

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Solution

The fourth proportional to 120,639.78, 180,932.10 and 45,768.24 is: 68,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,639.78 : 180,932.10 = 45,768.24 : x
  2. Step 2: Convert to fraction form
    120,639.78/180,932.10 = 45,768.24/x
  3. Step 3: Cross multiply
    120,639.78x = 180,932.10 × 45,768.24
  4. Step 4: Simplify right side
    120,639.78x = 8,280,943,776.50
  5. Step 5: Solve for x
    x = 8,280,943,776.50/120,639.78
  6. Step 6: Final answer
    x = 68,641.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.