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Finding the Fourth Proportional to 226,106.26, 312,027.84 and 141,272.52

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Solution

The fourth proportional to 226,106.26, 312,027.84 and 141,272.52 is: 194,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,106.26 : 312,027.84 = 141,272.52 : x
  2. Step 2: Convert to fraction form
    226,106.26/312,027.84 = 141,272.52/x
  3. Step 3: Cross multiply
    226,106.26x = 312,027.84 × 141,272.52
  4. Step 4: Simplify right side
    226,106.26x = 44,080,959,266.96
  5. Step 5: Solve for x
    x = 44,080,959,266.96/226,106.26
  6. Step 6: Final answer
    x = 194,956.83

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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.