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Finding the Fourth Proportional to 200,595.92, 276,811.44 and 109,952.06

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Solution

The fourth proportional to 200,595.92, 276,811.44 and 109,952.06 is: 151,727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,595.92 : 276,811.44 = 109,952.06 : x
  2. Step 2: Convert to fraction form
    200,595.92/276,811.44 = 109,952.06/x
  3. Step 3: Cross multiply
    200,595.92x = 276,811.44 × 109,952.06
  4. Step 4: Simplify right side
    200,595.92x = 30,435,988,059.57
  5. Step 5: Solve for x
    x = 30,435,988,059.57/200,595.92
  6. Step 6: Final answer
    x = 151,727.85

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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.