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Finding the Fourth Proportional to 201,682.70, 302,524.05 and 179,909.90

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Solution

The fourth proportional to 201,682.70, 302,524.05 and 179,909.90 is: 269,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,682.70 : 302,524.05 = 179,909.90 : x
  2. Step 2: Convert to fraction form
    201,682.70/302,524.05 = 179,909.90/x
  3. Step 3: Cross multiply
    201,682.70x = 302,524.05 × 179,909.90
  4. Step 4: Simplify right side
    201,682.70x = 54,427,071,583.10
  5. Step 5: Solve for x
    x = 54,427,071,583.10/201,682.70
  6. Step 6: Final answer
    x = 269,864.85

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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.