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Finding the Fourth Proportional to 226,906.30, 313,125.51 and 142,070.14

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Solution

The fourth proportional to 226,906.30, 313,125.51 and 142,070.14 is: 196,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,906.30 : 313,125.51 = 142,070.14 : x
  2. Step 2: Convert to fraction form
    226,906.30/313,125.51 = 142,070.14/x
  3. Step 3: Cross multiply
    226,906.30x = 313,125.51 × 142,070.14
  4. Step 4: Simplify right side
    226,906.30x = 44,485,785,043.27
  5. Step 5: Solve for x
    x = 44,485,785,043.27/226,906.30
  6. Step 6: Final answer
    x = 196,053.55

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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.