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Finding the Fourth Proportional to 264,222.80, 364,645.28 and 149,501.28

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Solution

The fourth proportional to 264,222.80, 364,645.28 and 149,501.28 is: 206,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,222.80 : 364,645.28 = 149,501.28 : x
  2. Step 2: Convert to fraction form
    264,222.80/364,645.28 = 149,501.28/x
  3. Step 3: Cross multiply
    264,222.80x = 364,645.28 × 149,501.28
  4. Step 4: Simplify right side
    264,222.80x = 54,514,936,105.96
  5. Step 5: Solve for x
    x = 54,514,936,105.96/264,222.80
  6. Step 6: Final answer
    x = 206,321.85

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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.