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Finding the Fourth Proportional to 269,403.64, 404,263 and 149,561.52

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Solution

The fourth proportional to 269,403.64, 404,263 and 149,561.52 is: 224,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,403.64 : 404,263 = 149,561.52 : x
  2. Step 2: Convert to fraction form
    269,403.64/404,263 = 149,561.52/x
  3. Step 3: Cross multiply
    269,403.64x = 404,263 × 149,561.52
  4. Step 4: Simplify right side
    269,403.64x = 60,462,188,759.76
  5. Step 5: Solve for x
    x = 60,462,188,759.76/269,403.64
  6. Step 6: Final answer
    x = 224,429.74

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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.