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Finding the Fourth Proportional to 180,930.60, 271,395.90 and 133,691.40

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Solution

The fourth proportional to 180,930.60, 271,395.90 and 133,691.40 is: 200,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,930.60 : 271,395.90 = 133,691.40 : x
  2. Step 2: Convert to fraction form
    180,930.60/271,395.90 = 133,691.40/x
  3. Step 3: Cross multiply
    180,930.60x = 271,395.90 × 133,691.40
  4. Step 4: Simplify right side
    180,930.60x = 36,283,297,825.26
  5. Step 5: Solve for x
    x = 36,283,297,825.26/180,930.60
  6. Step 6: Final answer
    x = 200,537.10

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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.