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Finding the Fourth Proportional to 263,997.82, 364,314.78 and 149,298.99

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Solution

The fourth proportional to 263,997.82, 364,314.78 and 149,298.99 is: 206,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,997.82 : 364,314.78 = 149,298.99 : x
  2. Step 2: Convert to fraction form
    263,997.82/364,314.78 = 149,298.99/x
  3. Step 3: Cross multiply
    263,997.82x = 364,314.78 × 149,298.99
  4. Step 4: Simplify right side
    263,997.82x = 54,391,828,696.07
  5. Step 5: Solve for x
    x = 54,391,828,696.07/263,997.82
  6. Step 6: Final answer
    x = 206,031.36

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1.5x scale

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.