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Finding the Fourth Proportional to 226,102.26, 312,022.32 and 141,268.52

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Solution

The fourth proportional to 226,102.26, 312,022.32 and 141,268.52 is: 194,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,102.26 : 312,022.32 = 141,268.52 : x
  2. Step 2: Convert to fraction form
    226,102.26/312,022.32 = 141,268.52/x
  3. Step 3: Cross multiply
    226,102.26x = 312,022.32 × 141,268.52
  4. Step 4: Simplify right side
    226,102.26x = 44,078,931,353.37
  5. Step 5: Solve for x
    x = 44,078,931,353.37/226,102.26
  6. Step 6: Final answer
    x = 194,951.31

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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.