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Finding the Fourth Proportional to 120,908.16, 181,362 and 32,161.77

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Solution

The fourth proportional to 120,908.16, 181,362 and 32,161.77 is: 48,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,908.16 : 181,362 = 32,161.77 : x
  2. Step 2: Convert to fraction form
    120,908.16/181,362 = 32,161.77/x
  3. Step 3: Cross multiply
    120,908.16x = 181,362 × 32,161.77
  4. Step 4: Simplify right side
    120,908.16x = 5,832,922,930.74
  5. Step 5: Solve for x
    x = 5,832,922,930.74/120,908.16
  6. Step 6: Final answer
    x = 48,242.59

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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.