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Finding the Fourth Proportional to 105,420.70, 158,131.05 and 69,991.30

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Solution

The fourth proportional to 105,420.70, 158,131.05 and 69,991.30 is: 104,986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,420.70 : 158,131.05 = 69,991.30 : x
  2. Step 2: Convert to fraction form
    105,420.70/158,131.05 = 69,991.30/x
  3. Step 3: Cross multiply
    105,420.70x = 158,131.05 × 69,991.30
  4. Step 4: Simplify right side
    105,420.70x = 11,067,797,759.87
  5. Step 5: Solve for x
    x = 11,067,797,759.87/105,420.70
  6. Step 6: Final answer
    x = 104,986.95

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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.