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Finding the Fourth Proportional to 101,990.19, 152,986.70 and 27,109.98

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Solution

The fourth proportional to 101,990.19, 152,986.70 and 27,109.98 is: 40,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,990.19 : 152,986.70 = 27,109.98 : x
  2. Step 2: Convert to fraction form
    101,990.19/152,986.70 = 27,109.98/x
  3. Step 3: Cross multiply
    101,990.19x = 152,986.70 × 27,109.98
  4. Step 4: Simplify right side
    101,990.19x = 4,147,466,241.72
  5. Step 5: Solve for x
    x = 4,147,466,241.72/101,990.19
  6. Step 6: Final answer
    x = 40,665.34

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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.