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Finding the Fourth Proportional to 269,412.54, 371,782.14 and 148,551.78

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Solution

The fourth proportional to 269,412.54, 371,782.14 and 148,551.78 is: 204,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,412.54 : 371,782.14 = 148,551.78 : x
  2. Step 2: Convert to fraction form
    269,412.54/371,782.14 = 148,551.78/x
  3. Step 3: Cross multiply
    269,412.54x = 371,782.14 × 148,551.78
  4. Step 4: Simplify right side
    269,412.54x = 55,228,898,669.21
  5. Step 5: Solve for x
    x = 55,228,898,669.21/269,412.54
  6. Step 6: Final answer
    x = 204,997.51

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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.