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Finding the Fourth Proportional to 114,414.60, 171,621.90 and 65,262.60

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Solution

The fourth proportional to 114,414.60, 171,621.90 and 65,262.60 is: 97,893.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,414.60 : 171,621.90 = 65,262.60 : x
  2. Step 2: Convert to fraction form
    114,414.60/171,621.90 = 65,262.60/x
  3. Step 3: Cross multiply
    114,414.60x = 171,621.90 × 65,262.60
  4. Step 4: Simplify right side
    114,414.60x = 11,200,491,410.94
  5. Step 5: Solve for x
    x = 11,200,491,410.94/114,414.60
  6. Step 6: Final answer
    x = 97,893.90

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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.