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Finding the Fourth Proportional to 150,805.14, 226,213.14 and 75,884.52

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Solution

The fourth proportional to 150,805.14, 226,213.14 and 75,884.52 is: 113,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,805.14 : 226,213.14 = 75,884.52 : x
  2. Step 2: Convert to fraction form
    150,805.14/226,213.14 = 75,884.52/x
  3. Step 3: Cross multiply
    150,805.14x = 226,213.14 × 75,884.52
  4. Step 4: Simplify right side
    150,805.14x = 17,166,075,546.59
  5. Step 5: Solve for x
    x = 17,166,075,546.59/150,805.14
  6. Step 6: Final answer
    x = 113,829.51

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1.5x scale

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.