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Finding the Fourth Proportional to 111,214.32, 166,801.32 and 44,651.76

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Solution

The fourth proportional to 111,214.32, 166,801.32 and 44,651.76 is: 66,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,214.32 : 166,801.32 = 44,651.76 : x
  2. Step 2: Convert to fraction form
    111,214.32/166,801.32 = 44,651.76/x
  3. Step 3: Cross multiply
    111,214.32x = 166,801.32 × 44,651.76
  4. Step 4: Simplify right side
    111,214.32x = 7,447,972,508.32
  5. Step 5: Solve for x
    x = 7,447,972,508.32/111,214.32
  6. Step 6: Final answer
    x = 66,969.55

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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.