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Finding the Fourth Proportional to 179,782.83, 269,768.43 and 67,540.50

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Solution

The fourth proportional to 179,782.83, 269,768.43 and 67,540.50 is: 101,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,782.83 : 269,768.43 = 67,540.50 : x
  2. Step 2: Convert to fraction form
    179,782.83/269,768.43 = 67,540.50/x
  3. Step 3: Cross multiply
    179,782.83x = 269,768.43 × 67,540.50
  4. Step 4: Simplify right side
    179,782.83x = 18,220,294,646.42
  5. Step 5: Solve for x
    x = 18,220,294,646.42/179,782.83
  6. Step 6: Final answer
    x = 101,346.13

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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.