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Finding the Fourth Proportional to 226,091.25, 312,007.14 and 141,257.52

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Solution

The fourth proportional to 226,091.25, 312,007.14 and 141,257.52 is: 194,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,091.25 : 312,007.14 = 141,257.52 : x
  2. Step 2: Convert to fraction form
    226,091.25/312,007.14 = 141,257.52/x
  3. Step 3: Cross multiply
    226,091.25x = 312,007.14 × 141,257.52
  4. Step 4: Simplify right side
    226,091.25x = 44,073,354,818.69
  5. Step 5: Solve for x
    x = 44,073,354,818.69/226,091.25
  6. Step 6: Final answer
    x = 194,936.14

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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.