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Finding the Fourth Proportional to 120,816, 181,249.92 and 46,944

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Solution

The fourth proportional to 120,816, 181,249.92 and 46,944 is: 70,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,816 : 181,249.92 = 46,944 : x
  2. Step 2: Convert to fraction form
    120,816/181,249.92 = 46,944/x
  3. Step 3: Cross multiply
    120,816x = 181,249.92 × 46,944
  4. Step 4: Simplify right side
    120,816x = 8,508,596,244.48
  5. Step 5: Solve for x
    x = 8,508,596,244.48/120,816
  6. Step 6: Final answer
    x = 70,426.07

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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.