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Finding the Fourth Proportional to 269,367, 371,705.68 and 148,507.92

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Solution

The fourth proportional to 269,367, 371,705.68 and 148,507.92 is: 204,929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,367 : 371,705.68 = 148,507.92 : x
  2. Step 2: Convert to fraction form
    269,367/371,705.68 = 148,507.92/x
  3. Step 3: Cross multiply
    269,367x = 371,705.68 × 148,507.92
  4. Step 4: Simplify right side
    269,367x = 55,201,237,388.99
  5. Step 5: Solve for x
    x = 55,201,237,388.99/269,367
  6. Step 6: Final answer
    x = 204,929.47

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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.