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Finding the Fourth Proportional to 269,826, 404,758.62 and 103,614

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Solution

The fourth proportional to 269,826, 404,758.62 and 103,614 is: 155,428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,826 : 404,758.62 = 103,614 : x
  2. Step 2: Convert to fraction form
    269,826/404,758.62 = 103,614/x
  3. Step 3: Cross multiply
    269,826x = 404,758.62 × 103,614
  4. Step 4: Simplify right side
    269,826x = 41,938,659,652.68
  5. Step 5: Solve for x
    x = 41,938,659,652.68/269,826
  6. Step 6: Final answer
    x = 155,428.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.