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Finding the Fourth Proportional to 120,826.60, 181,061.70 and 87,616.60

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Solution

The fourth proportional to 120,826.60, 181,061.70 and 87,616.60 is: 131,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,826.60 : 181,061.70 = 87,616.60 : x
  2. Step 2: Convert to fraction form
    120,826.60/181,061.70 = 87,616.60/x
  3. Step 3: Cross multiply
    120,826.60x = 181,061.70 × 87,616.60
  4. Step 4: Simplify right side
    120,826.60x = 15,864,010,544.22
  5. Step 5: Solve for x
    x = 15,864,010,544.22/120,826.60
  6. Step 6: Final answer
    x = 131,295.68

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Why These Related Problems?

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