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Finding the Fourth Proportional to 201,682.80, 302,524.20 and 113,209.20

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Solution

The fourth proportional to 201,682.80, 302,524.20 and 113,209.20 is: 169,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,682.80 : 302,524.20 = 113,209.20 : x
  2. Step 2: Convert to fraction form
    201,682.80/302,524.20 = 113,209.20/x
  3. Step 3: Cross multiply
    201,682.80x = 302,524.20 × 113,209.20
  4. Step 4: Simplify right side
    201,682.80x = 34,248,522,662.64
  5. Step 5: Solve for x
    x = 34,248,522,662.64/201,682.80
  6. Step 6: Final answer
    x = 169,813.80

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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.