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Finding the Fourth Proportional to 269,306.71, 371,643.16 and 148,450

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Solution

The fourth proportional to 269,306.71, 371,643.16 and 148,450 is: 204,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,306.71 : 371,643.16 = 148,450 : x
  2. Step 2: Convert to fraction form
    269,306.71/371,643.16 = 148,450/x
  3. Step 3: Cross multiply
    269,306.71x = 371,643.16 × 148,450
  4. Step 4: Simplify right side
    269,306.71x = 55,170,427,102
  5. Step 5: Solve for x
    x = 55,170,427,102/269,306.71
  6. Step 6: Final answer
    x = 204,860.94

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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.