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Finding the Fourth Proportional to 111,064.86, 166,597.14 and 36,184.86

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Solution

The fourth proportional to 111,064.86, 166,597.14 and 36,184.86 is: 54,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,064.86 : 166,597.14 = 36,184.86 : x
  2. Step 2: Convert to fraction form
    111,064.86/166,597.14 = 36,184.86/x
  3. Step 3: Cross multiply
    111,064.86x = 166,597.14 × 36,184.86
  4. Step 4: Simplify right side
    111,064.86x = 6,028,294,187.30
  5. Step 5: Solve for x
    x = 6,028,294,187.30/111,064.86
  6. Step 6: Final answer
    x = 54,277.24

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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.