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Finding the Fourth Proportional to 269,182.42, 403,843.72 and 100,715.92

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Solution

The fourth proportional to 269,182.42, 403,843.72 and 100,715.92 is: 151,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,182.42 : 403,843.72 = 100,715.92 : x
  2. Step 2: Convert to fraction form
    269,182.42/403,843.72 = 100,715.92/x
  3. Step 3: Cross multiply
    269,182.42x = 403,843.72 × 100,715.92
  4. Step 4: Simplify right side
    269,182.42x = 40,673,489,273.22
  5. Step 5: Solve for x
    x = 40,673,489,273.22/269,182.42
  6. Step 6: Final answer
    x = 151,100.10

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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.