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Finding the Fourth Proportional to 201,964.60, 302,801.10 and 113,245.30

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Solution

The fourth proportional to 201,964.60, 302,801.10 and 113,245.30 is: 169,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,964.60 : 302,801.10 = 113,245.30 : x
  2. Step 2: Convert to fraction form
    201,964.60/302,801.10 = 113,245.30/x
  3. Step 3: Cross multiply
    201,964.60x = 302,801.10 × 113,245.30
  4. Step 4: Simplify right side
    201,964.60x = 34,290,801,409.83
  5. Step 5: Solve for x
    x = 34,290,801,409.83/201,964.60
  6. Step 6: Final answer
    x = 169,786.20

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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.