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Finding the Fourth Proportional to 120,913.36, 181,369.80 and 32,166.92

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Solution

The fourth proportional to 120,913.36, 181,369.80 and 32,166.92 is: 48,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,913.36 : 181,369.80 = 32,166.92 : x
  2. Step 2: Convert to fraction form
    120,913.36/181,369.80 = 32,166.92/x
  3. Step 3: Cross multiply
    120,913.36x = 181,369.80 × 32,166.92
  4. Step 4: Simplify right side
    120,913.36x = 5,834,107,847.02
  5. Step 5: Solve for x
    x = 5,834,107,847.02/120,913.36
  6. Step 6: Final answer
    x = 48,250.32

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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.