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Finding the Fourth Proportional to 227,424.10, 340,692.87 and 138,456.94

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Solution

The fourth proportional to 227,424.10, 340,692.87 and 138,456.94 is: 207,415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,424.10 : 340,692.87 = 138,456.94 : x
  2. Step 2: Convert to fraction form
    227,424.10/340,692.87 = 138,456.94/x
  3. Step 3: Cross multiply
    227,424.10x = 340,692.87 × 138,456.94
  4. Step 4: Simplify right side
    227,424.10x = 47,171,292,260.02
  5. Step 5: Solve for x
    x = 47,171,292,260.02/227,424.10
  6. Step 6: Final answer
    x = 207,415.54

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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.