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Finding the Fourth Proportional to 224,674.24, 336,845.04 and 106,207.24

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Solution

The fourth proportional to 224,674.24, 336,845.04 and 106,207.24 is: 159,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,674.24 : 336,845.04 = 106,207.24 : x
  2. Step 2: Convert to fraction form
    224,674.24/336,845.04 = 106,207.24/x
  3. Step 3: Cross multiply
    224,674.24x = 336,845.04 × 106,207.24
  4. Step 4: Simplify right side
    224,674.24x = 35,775,382,006.09
  5. Step 5: Solve for x
    x = 35,775,382,006.09/224,674.24
  6. Step 6: Final answer
    x = 159,232.24

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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.