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Finding the Fourth Proportional to 200,202.54, 276,279.51 and 109,558.51

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Solution

The fourth proportional to 200,202.54, 276,279.51 and 109,558.51 is: 151,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,202.54 : 276,279.51 = 109,558.51 : x
  2. Step 2: Convert to fraction form
    200,202.54/276,279.51 = 109,558.51/x
  3. Step 3: Cross multiply
    200,202.54x = 276,279.51 × 109,558.51
  4. Step 4: Simplify right side
    200,202.54x = 30,268,770,768.43
  5. Step 5: Solve for x
    x = 30,268,770,768.43/200,202.54
  6. Step 6: Final answer
    x = 151,190.74

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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.