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Finding the Fourth Proportional to 201,872.40, 302,954.40 and 113,031.60

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Solution

The fourth proportional to 201,872.40, 302,954.40 and 113,031.60 is: 169,629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,872.40 : 302,954.40 = 113,031.60 : x
  2. Step 2: Convert to fraction form
    201,872.40/302,954.40 = 113,031.60/x
  3. Step 3: Cross multiply
    201,872.40x = 302,954.40 × 113,031.60
  4. Step 4: Simplify right side
    201,872.40x = 34,243,420,559.04
  5. Step 5: Solve for x
    x = 34,243,420,559.04/201,872.40
  6. Step 6: Final answer
    x = 169,629.04

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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.