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Finding the Fourth Proportional to 264,478.52, 364,969.14 and 149,763.43

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Solution

The fourth proportional to 264,478.52, 364,969.14 and 149,763.43 is: 206,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,478.52 : 364,969.14 = 149,763.43 : x
  2. Step 2: Convert to fraction form
    264,478.52/364,969.14 = 149,763.43/x
  3. Step 3: Cross multiply
    264,478.52x = 364,969.14 × 149,763.43
  4. Step 4: Simplify right side
    264,478.52x = 54,659,030,987.57
  5. Step 5: Solve for x
    x = 54,659,030,987.57/264,478.52
  6. Step 6: Final answer
    x = 206,667.19

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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.