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Finding the Fourth Proportional to 200,546.73, 276,728.13 and 119,944.86

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Solution

The fourth proportional to 200,546.73, 276,728.13 and 119,944.86 is: 165,508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,546.73 : 276,728.13 = 119,944.86 : x
  2. Step 2: Convert to fraction form
    200,546.73/276,728.13 = 119,944.86/x
  3. Step 3: Cross multiply
    200,546.73x = 276,728.13 × 119,944.86
  4. Step 4: Simplify right side
    200,546.73x = 33,192,116,810.91
  5. Step 5: Solve for x
    x = 33,192,116,810.91/200,546.73
  6. Step 6: Final answer
    x = 165,508.14

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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.