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Finding the Fourth Proportional to 265,958.71, 367,010.19 and 145,092.78

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Solution

The fourth proportional to 265,958.71, 367,010.19 and 145,092.78 is: 200,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,958.71 : 367,010.19 = 145,092.78 : x
  2. Step 2: Convert to fraction form
    265,958.71/367,010.19 = 145,092.78/x
  3. Step 3: Cross multiply
    265,958.71x = 367,010.19 × 145,092.78
  4. Step 4: Simplify right side
    265,958.71x = 53,250,528,755.43
  5. Step 5: Solve for x
    x = 53,250,528,755.43/265,958.71
  6. Step 6: Final answer
    x = 200,221.04

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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.