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Finding the Fourth Proportional to 111,267, 166,926.75 and 36,386.85

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Solution

The fourth proportional to 111,267, 166,926.75 and 36,386.85 is: 54,588.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,267 : 166,926.75 = 36,386.85 : x
  2. Step 2: Convert to fraction form
    111,267/166,926.75 = 36,386.85/x
  3. Step 3: Cross multiply
    111,267x = 166,926.75 × 36,386.85
  4. Step 4: Simplify right side
    111,267x = 6,073,938,613.24
  5. Step 5: Solve for x
    x = 6,073,938,613.24/111,267
  6. Step 6: Final answer
    x = 54,588.86

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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.