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Finding the Fourth Proportional to 226,858.86, 340,498.79 and 114,617.91

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Solution

The fourth proportional to 226,858.86, 340,498.79 and 114,617.91 is: 172,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,858.86 : 340,498.79 = 114,617.91 : x
  2. Step 2: Convert to fraction form
    226,858.86/340,498.79 = 114,617.91/x
  3. Step 3: Cross multiply
    226,858.86x = 340,498.79 × 114,617.91
  4. Step 4: Simplify right side
    226,858.86x = 39,027,259,094.24
  5. Step 5: Solve for x
    x = 39,027,259,094.24/226,858.86
  6. Step 6: Final answer
    x = 172,033.22

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Why These Related Problems?

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