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Finding the Fourth Proportional to 226,264.80, 339,257.64 and 76,490.88

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Solution

The fourth proportional to 226,264.80, 339,257.64 and 76,490.88 is: 114,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,264.80 : 339,257.64 = 76,490.88 : x
  2. Step 2: Convert to fraction form
    226,264.80/339,257.64 = 76,490.88/x
  3. Step 3: Cross multiply
    226,264.80x = 339,257.64 × 76,490.88
  4. Step 4: Simplify right side
    226,264.80x = 25,950,115,430.32
  5. Step 5: Solve for x
    x = 25,950,115,430.32/226,264.80
  6. Step 6: Final answer
    x = 114,689.14

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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.