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Finding the Fourth Proportional to 200,332.78, 276,459.30 and 109,694.48

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Solution

The fourth proportional to 200,332.78, 276,459.30 and 109,694.48 is: 151,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,332.78 : 276,459.30 = 109,694.48 : x
  2. Step 2: Convert to fraction form
    200,332.78/276,459.30 = 109,694.48/x
  3. Step 3: Cross multiply
    200,332.78x = 276,459.30 × 109,694.48
  4. Step 4: Simplify right side
    200,332.78x = 30,326,057,772.37
  5. Step 5: Solve for x
    x = 30,326,057,772.37/200,332.78
  6. Step 6: Final answer
    x = 151,378.41

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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.