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Finding the Fourth Proportional to 200,760.78, 276,944.92 and 119,041.47

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Solution

The fourth proportional to 200,760.78, 276,944.92 and 119,041.47 is: 164,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,760.78 : 276,944.92 = 119,041.47 : x
  2. Step 2: Convert to fraction form
    200,760.78/276,944.92 = 119,041.47/x
  3. Step 3: Cross multiply
    200,760.78x = 276,944.92 × 119,041.47
  4. Step 4: Simplify right side
    200,760.78x = 32,967,930,385.83
  5. Step 5: Solve for x
    x = 32,967,930,385.83/200,760.78
  6. Step 6: Final answer
    x = 164,214.99

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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.