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Finding the Fourth Proportional to 261,447.72, 360,797.86 and 148,270.47

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Solution

The fourth proportional to 261,447.72, 360,797.86 and 148,270.47 is: 204,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,447.72 : 360,797.86 = 148,270.47 : x
  2. Step 2: Convert to fraction form
    261,447.72/360,797.86 = 148,270.47/x
  3. Step 3: Cross multiply
    261,447.72x = 360,797.86 × 148,270.47
  4. Step 4: Simplify right side
    261,447.72x = 53,495,667,906.52
  5. Step 5: Solve for x
    x = 53,495,667,906.52/261,447.72
  6. Step 6: Final answer
    x = 204,613.25

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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.