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Finding the Fourth Proportional to 111,085.41, 166,695.77 and 40,002.09

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Solution

The fourth proportional to 111,085.41, 166,695.77 and 40,002.09 is: 60,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,085.41 : 166,695.77 = 40,002.09 : x
  2. Step 2: Convert to fraction form
    111,085.41/166,695.77 = 40,002.09/x
  3. Step 3: Cross multiply
    111,085.41x = 166,695.77 × 40,002.09
  4. Step 4: Simplify right side
    111,085.41x = 6,668,179,194.16
  5. Step 5: Solve for x
    x = 6,668,179,194.16/111,085.41
  6. Step 6: Final answer
    x = 60,027.50

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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.