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Finding the Fourth Proportional to 164,992.32, 227,692.13 and 89,540.82

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Solution

The fourth proportional to 164,992.32, 227,692.13 and 89,540.82 is: 123,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,992.32 : 227,692.13 = 89,540.82 : x
  2. Step 2: Convert to fraction form
    164,992.32/227,692.13 = 89,540.82/x
  3. Step 3: Cross multiply
    164,992.32x = 227,692.13 × 89,540.82
  4. Step 4: Simplify right side
    164,992.32x = 20,387,740,027.75
  5. Step 5: Solve for x
    x = 20,387,740,027.75/164,992.32
  6. Step 6: Final answer
    x = 123,567.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.