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Finding the Fourth Proportional to 120,550.65, 180,784.04 and 49,453.08

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Solution

The fourth proportional to 120,550.65, 180,784.04 and 49,453.08 is: 74,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,550.65 : 180,784.04 = 49,453.08 : x
  2. Step 2: Convert to fraction form
    120,550.65/180,784.04 = 49,453.08/x
  3. Step 3: Cross multiply
    120,550.65x = 180,784.04 × 49,453.08
  4. Step 4: Simplify right side
    120,550.65x = 8,940,327,345.58
  5. Step 5: Solve for x
    x = 8,940,327,345.58/120,550.65
  6. Step 6: Final answer
    x = 74,162.42

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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.