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Finding the Fourth Proportional to 226,585.50, 312,687.99 and 125,983.50

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Solution

The fourth proportional to 226,585.50, 312,687.99 and 125,983.50 is: 173,857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,585.50 : 312,687.99 = 125,983.50 : x
  2. Step 2: Convert to fraction form
    226,585.50/312,687.99 = 125,983.50/x
  3. Step 3: Cross multiply
    226,585.50x = 312,687.99 × 125,983.50
  4. Step 4: Simplify right side
    226,585.50x = 39,393,527,388.17
  5. Step 5: Solve for x
    x = 39,393,527,388.17/226,585.50
  6. Step 6: Final answer
    x = 173,857.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.