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Finding the Fourth Proportional to 111,094.86, 166,433.04 and 54,869.16

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Solution

The fourth proportional to 111,094.86, 166,433.04 and 54,869.16 is: 82,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,094.86 : 166,433.04 = 54,869.16 : x
  2. Step 2: Convert to fraction form
    111,094.86/166,433.04 = 54,869.16/x
  3. Step 3: Cross multiply
    111,094.86x = 166,433.04 × 54,869.16
  4. Step 4: Simplify right side
    111,094.86x = 9,132,041,101.05
  5. Step 5: Solve for x
    x = 9,132,041,101.05/111,094.86
  6. Step 6: Final answer
    x = 82,200.39

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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.