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Finding the Fourth Proportional to 205,247.22, 283,245.98 and 114,600.12

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Solution

The fourth proportional to 205,247.22, 283,245.98 and 114,600.12 is: 158,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,247.22 : 283,245.98 = 114,600.12 : x
  2. Step 2: Convert to fraction form
    205,247.22/283,245.98 = 114,600.12/x
  3. Step 3: Cross multiply
    205,247.22x = 283,245.98 × 114,600.12
  4. Step 4: Simplify right side
    205,247.22x = 32,460,022,724.52
  5. Step 5: Solve for x
    x = 32,460,022,724.52/205,247.22
  6. Step 6: Final answer
    x = 158,150.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.