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Finding the Fourth Proportional to 263,799.86, 364,022.24 and 149,088.33

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Solution

The fourth proportional to 263,799.86, 364,022.24 and 149,088.33 is: 205,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,799.86 : 364,022.24 = 149,088.33 : x
  2. Step 2: Convert to fraction form
    263,799.86/364,022.24 = 149,088.33/x
  3. Step 3: Cross multiply
    263,799.86x = 364,022.24 × 149,088.33
  4. Step 4: Simplify right side
    263,799.86x = 54,271,467,099.02
  5. Step 5: Solve for x
    x = 54,271,467,099.02/263,799.86
  6. Step 6: Final answer
    x = 205,729.71

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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.