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Finding the Fourth Proportional to 226,742.91, 340,245.80 and 114,431.91

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Solution

The fourth proportional to 226,742.91, 340,245.80 and 114,431.91 is: 171,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,742.91 : 340,245.80 = 114,431.91 : x
  2. Step 2: Convert to fraction form
    226,742.91/340,245.80 = 114,431.91/x
  3. Step 3: Cross multiply
    226,742.91x = 340,245.80 × 114,431.91
  4. Step 4: Simplify right side
    226,742.91x = 38,934,976,191.32
  5. Step 5: Solve for x
    x = 38,934,976,191.32/226,742.91
  6. Step 6: Final answer
    x = 171,714.19

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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.