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Finding the Fourth Proportional to 200,297.76, 276,410.88 and 109,653.44

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Solution

The fourth proportional to 200,297.76, 276,410.88 and 109,653.44 is: 151,321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,297.76 : 276,410.88 = 109,653.44 : x
  2. Step 2: Convert to fraction form
    200,297.76/276,410.88 = 109,653.44/x
  3. Step 3: Cross multiply
    200,297.76x = 276,410.88 × 109,653.44
  4. Step 4: Simplify right side
    200,297.76x = 30,309,402,463.37
  5. Step 5: Solve for x
    x = 30,309,402,463.37/200,297.76
  6. Step 6: Final answer
    x = 151,321.72

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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.