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Finding the Fourth Proportional to 111,162.30, 166,743.45 and 48,832.80

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Solution

The fourth proportional to 111,162.30, 166,743.45 and 48,832.80 is: 73,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,162.30 : 166,743.45 = 48,832.80 : x
  2. Step 2: Convert to fraction form
    111,162.30/166,743.45 = 48,832.80/x
  3. Step 3: Cross multiply
    111,162.30x = 166,743.45 × 48,832.80
  4. Step 4: Simplify right side
    111,162.30x = 8,142,549,545.16
  5. Step 5: Solve for x
    x = 8,142,549,545.16/111,162.30
  6. Step 6: Final answer
    x = 73,249.20

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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.