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Finding the Fourth Proportional to 225,772.26, 311,333.15 and 157,764.45

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Solution

The fourth proportional to 225,772.26, 311,333.15 and 157,764.45 is: 217,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,772.26 : 311,333.15 = 157,764.45 : x
  2. Step 2: Convert to fraction form
    225,772.26/311,333.15 = 157,764.45/x
  3. Step 3: Cross multiply
    225,772.26x = 311,333.15 × 157,764.45
  4. Step 4: Simplify right side
    225,772.26x = 49,117,302,387.70
  5. Step 5: Solve for x
    x = 49,117,302,387.70/225,772.26
  6. Step 6: Final answer
    x = 217,552.42

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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.