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Finding the Fourth Proportional to 200,394.78, 276,544.80 and 109,750.96

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Solution

The fourth proportional to 200,394.78, 276,544.80 and 109,750.96 is: 151,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,394.78 : 276,544.80 = 109,750.96 : x
  2. Step 2: Convert to fraction form
    200,394.78/276,544.80 = 109,750.96/x
  3. Step 3: Cross multiply
    200,394.78x = 276,544.80 × 109,750.96
  4. Step 4: Simplify right side
    200,394.78x = 30,351,057,283.01
  5. Step 5: Solve for x
    x = 30,351,057,283.01/200,394.78
  6. Step 6: Final answer
    x = 151,456.33

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1.5x scale

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.