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Finding the Fourth Proportional to 140,611.85, 210,934.21 and 49,399.25

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Solution

The fourth proportional to 140,611.85, 210,934.21 and 49,399.25 is: 74,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,611.85 : 210,934.21 = 49,399.25 : x
  2. Step 2: Convert to fraction form
    140,611.85/210,934.21 = 49,399.25/x
  3. Step 3: Cross multiply
    140,611.85x = 210,934.21 × 49,399.25
  4. Step 4: Simplify right side
    140,611.85x = 10,419,991,526.35
  5. Step 5: Solve for x
    x = 10,419,991,526.35/140,611.85
  6. Step 6: Final answer
    x = 74,104.65

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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.