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Finding the Fourth Proportional to 100,578.75, 150,868.14 and 26,706.75

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Solution

The fourth proportional to 100,578.75, 150,868.14 and 26,706.75 is: 40,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,578.75 : 150,868.14 = 26,706.75 : x
  2. Step 2: Convert to fraction form
    100,578.75/150,868.14 = 26,706.75/x
  3. Step 3: Cross multiply
    100,578.75x = 150,868.14 × 26,706.75
  4. Step 4: Simplify right side
    100,578.75x = 4,029,197,697.95
  5. Step 5: Solve for x
    x = 4,029,197,697.95/100,578.75
  6. Step 6: Final answer
    x = 40,060.13

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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.