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Finding the Fourth Proportional to 226,744.41, 340,248.05 and 114,433.41

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Solution

The fourth proportional to 226,744.41, 340,248.05 and 114,433.41 is: 171,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,744.41 : 340,248.05 = 114,433.41 : x
  2. Step 2: Convert to fraction form
    226,744.41/340,248.05 = 114,433.41/x
  3. Step 3: Cross multiply
    226,744.41x = 340,248.05 × 114,433.41
  4. Step 4: Simplify right side
    226,744.41x = 38,935,744,607.35
  5. Step 5: Solve for x
    x = 38,935,744,607.35/226,744.41
  6. Step 6: Final answer
    x = 171,716.45

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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.