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Finding the Fourth Proportional to 226,961.52, 340,464.84 and 86,838

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Solution

The fourth proportional to 226,961.52, 340,464.84 and 86,838 is: 130,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,961.52 : 340,464.84 = 86,838 : x
  2. Step 2: Convert to fraction form
    226,961.52/340,464.84 = 86,838/x
  3. Step 3: Cross multiply
    226,961.52x = 340,464.84 × 86,838
  4. Step 4: Simplify right side
    226,961.52x = 29,565,285,775.92
  5. Step 5: Solve for x
    x = 29,565,285,775.92/226,961.52
  6. Step 6: Final answer
    x = 130,265.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.