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Finding the Fourth Proportional to 200,759.78, 276,943.55 and 119,040.47

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Solution

The fourth proportional to 200,759.78, 276,943.55 and 119,040.47 is: 164,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,759.78 : 276,943.55 = 119,040.47 : x
  2. Step 2: Convert to fraction form
    200,759.78/276,943.55 = 119,040.47/x
  3. Step 3: Cross multiply
    200,759.78x = 276,943.55 × 119,040.47
  4. Step 4: Simplify right side
    200,759.78x = 32,967,490,452.63
  5. Step 5: Solve for x
    x = 32,967,490,452.63/200,759.78
  6. Step 6: Final answer
    x = 164,213.62

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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.