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Finding the Fourth Proportional to 113,314.60, 169,826.10 and 54,022.60

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Solution

The fourth proportional to 113,314.60, 169,826.10 and 54,022.60 is: 80,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,314.60 : 169,826.10 = 54,022.60 : x
  2. Step 2: Convert to fraction form
    113,314.60/169,826.10 = 54,022.60/x
  3. Step 3: Cross multiply
    113,314.60x = 169,826.10 × 54,022.60
  4. Step 4: Simplify right side
    113,314.60x = 9,174,447,469.86
  5. Step 5: Solve for x
    x = 9,174,447,469.86/113,314.60
  6. Step 6: Final answer
    x = 80,964.39

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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.