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Finding the Fourth Proportional to 267,034.14, 368,481.91 and 159,582.78

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Solution

The fourth proportional to 267,034.14, 368,481.91 and 159,582.78 is: 220,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,034.14 : 368,481.91 = 159,582.78 : x
  2. Step 2: Convert to fraction form
    267,034.14/368,481.91 = 159,582.78/x
  3. Step 3: Cross multiply
    267,034.14x = 368,481.91 × 159,582.78
  4. Step 4: Simplify right side
    267,034.14x = 58,803,367,577.51
  5. Step 5: Solve for x
    x = 58,803,367,577.51/267,034.14
  6. Step 6: Final answer
    x = 220,209.17

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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.