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Finding the Fourth Proportional to 264,001.52, 364,299.57 and 149,274.54

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Solution

The fourth proportional to 264,001.52, 364,299.57 and 149,274.54 is: 205,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,001.52 : 364,299.57 = 149,274.54 : x
  2. Step 2: Convert to fraction form
    264,001.52/364,299.57 = 149,274.54/x
  3. Step 3: Cross multiply
    264,001.52x = 364,299.57 × 149,274.54
  4. Step 4: Simplify right side
    264,001.52x = 54,380,650,733.95
  5. Step 5: Solve for x
    x = 54,380,650,733.95/264,001.52
  6. Step 6: Final answer
    x = 205,986.13

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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.