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Finding the Fourth Proportional to 115,992.92, 160,022.37 and 75,692.18

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Solution

The fourth proportional to 115,992.92, 160,022.37 and 75,692.18 is: 104,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,992.92 : 160,022.37 = 75,692.18 : x
  2. Step 2: Convert to fraction form
    115,992.92/160,022.37 = 75,692.18/x
  3. Step 3: Cross multiply
    115,992.92x = 160,022.37 × 75,692.18
  4. Step 4: Simplify right side
    115,992.92x = 12,112,441,233.95
  5. Step 5: Solve for x
    x = 12,112,441,233.95/115,992.92
  6. Step 6: Final answer
    x = 104,423.97

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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.