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Finding the Fourth Proportional to 225,963, 311,843.52 and 125,361

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Solution

The fourth proportional to 225,963, 311,843.52 and 125,361 is: 173,006.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,963 : 311,843.52 = 125,361 : x
  2. Step 2: Convert to fraction form
    225,963/311,843.52 = 125,361/x
  3. Step 3: Cross multiply
    225,963x = 311,843.52 × 125,361
  4. Step 4: Simplify right side
    225,963x = 39,093,015,510.72
  5. Step 5: Solve for x
    x = 39,093,015,510.72/225,963
  6. Step 6: Final answer
    x = 173,006.27

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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.