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Finding the Fourth Proportional to 111,194.50, 166,809.03 and 37,339.78

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Solution

The fourth proportional to 111,194.50, 166,809.03 and 37,339.78 is: 56,015.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,194.50 : 166,809.03 = 37,339.78 : x
  2. Step 2: Convert to fraction form
    111,194.50/166,809.03 = 37,339.78/x
  3. Step 3: Cross multiply
    111,194.50x = 166,809.03 × 37,339.78
  4. Step 4: Simplify right side
    111,194.50x = 6,228,612,482.21
  5. Step 5: Solve for x
    x = 6,228,612,482.21/111,194.50
  6. Step 6: Final answer
    x = 56,015.47

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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.