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Finding the Fourth Proportional to 111,193.48, 166,749.20 and 48,016.51

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Solution

The fourth proportional to 111,193.48, 166,749.20 and 48,016.51 is: 72,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,193.48 : 166,749.20 = 48,016.51 : x
  2. Step 2: Convert to fraction form
    111,193.48/166,749.20 = 48,016.51/x
  3. Step 3: Cross multiply
    111,193.48x = 166,749.20 × 48,016.51
  4. Step 4: Simplify right side
    111,193.48x = 8,006,714,629.29
  5. Step 5: Solve for x
    x = 8,006,714,629.29/111,193.48
  6. Step 6: Final answer
    x = 72,007.05

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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.