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Finding the Fourth Proportional to 106,811.82, 160,218.08 and 40,234.07

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Solution

The fourth proportional to 106,811.82, 160,218.08 and 40,234.07 is: 60,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,811.82 : 160,218.08 = 40,234.07 : x
  2. Step 2: Convert to fraction form
    106,811.82/160,218.08 = 40,234.07/x
  3. Step 3: Cross multiply
    106,811.82x = 160,218.08 × 40,234.07
  4. Step 4: Simplify right side
    106,811.82x = 6,446,224,443.72
  5. Step 5: Solve for x
    x = 6,446,224,443.72/106,811.82
  6. Step 6: Final answer
    x = 60,351.23

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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.