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Finding the Fourth Proportional to 269,315.70, 403,876.35 and 136,151.70

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Solution

The fourth proportional to 269,315.70, 403,876.35 and 136,151.70 is: 204,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,315.70 : 403,876.35 = 136,151.70 : x
  2. Step 2: Convert to fraction form
    269,315.70/403,876.35 = 136,151.70/x
  3. Step 3: Cross multiply
    269,315.70x = 403,876.35 × 136,151.70
  4. Step 4: Simplify right side
    269,315.70x = 54,988,451,642.30
  5. Step 5: Solve for x
    x = 54,988,451,642.30/269,315.70
  6. Step 6: Final answer
    x = 204,178.41

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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.