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Finding the Fourth Proportional to 200,451.94, 276,623.67 and 109,813.57

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Solution

The fourth proportional to 200,451.94, 276,623.67 and 109,813.57 is: 151,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,451.94 : 276,623.67 = 109,813.57 : x
  2. Step 2: Convert to fraction form
    200,451.94/276,623.67 = 109,813.57/x
  3. Step 3: Cross multiply
    200,451.94x = 276,623.67 × 109,813.57
  4. Step 4: Simplify right side
    200,451.94x = 30,377,032,749.20
  5. Step 5: Solve for x
    x = 30,377,032,749.20/200,451.94
  6. Step 6: Final answer
    x = 151,542.72

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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.