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Finding the Fourth Proportional to 269,448.84, 371,864.46 and 154,743.48

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Solution

The fourth proportional to 269,448.84, 371,864.46 and 154,743.48 is: 213,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,448.84 : 371,864.46 = 154,743.48 : x
  2. Step 2: Convert to fraction form
    269,448.84/371,864.46 = 154,743.48/x
  3. Step 3: Cross multiply
    269,448.84x = 371,864.46 × 154,743.48
  4. Step 4: Simplify right side
    269,448.84x = 57,543,600,628.72
  5. Step 5: Solve for x
    x = 57,543,600,628.72/269,448.84
  6. Step 6: Final answer
    x = 213,560.39

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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.