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Finding the Fourth Proportional to 224,273.26, 336,409.82 and 153,939.34

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Solution

The fourth proportional to 224,273.26, 336,409.82 and 153,939.34 is: 230,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,273.26 : 336,409.82 = 153,939.34 : x
  2. Step 2: Convert to fraction form
    224,273.26/336,409.82 = 153,939.34/x
  3. Step 3: Cross multiply
    224,273.26x = 336,409.82 × 153,939.34
  4. Step 4: Simplify right side
    224,273.26x = 51,786,705,660.32
  5. Step 5: Solve for x
    x = 51,786,705,660.32/224,273.26
  6. Step 6: Final answer
    x = 230,908.96

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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.