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Finding the Fourth Proportional to 111,152.86, 166,743 and 36,252.98

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Solution

The fourth proportional to 111,152.86, 166,743 and 36,252.98 is: 54,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,152.86 : 166,743 = 36,252.98 : x
  2. Step 2: Convert to fraction form
    111,152.86/166,743 = 36,252.98/x
  3. Step 3: Cross multiply
    111,152.86x = 166,743 × 36,252.98
  4. Step 4: Simplify right side
    111,152.86x = 6,044,930,644.14
  5. Step 5: Solve for x
    x = 6,044,930,644.14/111,152.86
  6. Step 6: Final answer
    x = 54,383.94

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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.