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Finding the Fourth Proportional to 150,865.47, 226,309.14 and 45,692.64

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Solution

The fourth proportional to 150,865.47, 226,309.14 and 45,692.64 is: 68,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,865.47 : 226,309.14 = 45,692.64 : x
  2. Step 2: Convert to fraction form
    150,865.47/226,309.14 = 45,692.64/x
  3. Step 3: Cross multiply
    150,865.47x = 226,309.14 × 45,692.64
  4. Step 4: Simplify right side
    150,865.47x = 10,340,662,062.73
  5. Step 5: Solve for x
    x = 10,340,662,062.73/150,865.47
  6. Step 6: Final answer
    x = 68,542.27

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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.