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Finding the Fourth Proportional to 200,457.92, 276,638.81 and 109,813.86

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Solution

The fourth proportional to 200,457.92, 276,638.81 and 109,813.86 is: 151,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,457.92 : 276,638.81 = 109,813.86 : x
  2. Step 2: Convert to fraction form
    200,457.92/276,638.81 = 109,813.86/x
  3. Step 3: Cross multiply
    200,457.92x = 276,638.81 × 109,813.86
  4. Step 4: Simplify right side
    200,457.92x = 30,378,774,789.05
  5. Step 5: Solve for x
    x = 30,378,774,789.05/200,457.92
  6. Step 6: Final answer
    x = 151,546.90

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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.