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Finding the Fourth Proportional to 264,288.33, 364,712.71 and 149,564.84

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Solution

The fourth proportional to 264,288.33, 364,712.71 and 149,564.84 is: 206,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,288.33 : 364,712.71 = 149,564.84 : x
  2. Step 2: Convert to fraction form
    264,288.33/364,712.71 = 149,564.84/x
  3. Step 3: Cross multiply
    264,288.33x = 364,712.71 × 149,564.84
  4. Step 4: Simplify right side
    264,288.33x = 54,548,198,117.12
  5. Step 5: Solve for x
    x = 54,548,198,117.12/264,288.33
  6. Step 6: Final answer
    x = 206,396.54

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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.