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Finding the Fourth Proportional to 201,863.40, 302,940.90 and 113,022.60

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Solution

The fourth proportional to 201,863.40, 302,940.90 and 113,022.60 is: 169,615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,863.40 : 302,940.90 = 113,022.60 : x
  2. Step 2: Convert to fraction form
    201,863.40/302,940.90 = 113,022.60/x
  3. Step 3: Cross multiply
    201,863.40x = 302,940.90 × 113,022.60
  4. Step 4: Simplify right side
    201,863.40x = 34,239,168,164.34
  5. Step 5: Solve for x
    x = 34,239,168,164.34/201,863.40
  6. Step 6: Final answer
    x = 169,615.53

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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.