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Finding the Fourth Proportional to 206,944.92, 310,474.68 and 82,373.40

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Solution

The fourth proportional to 206,944.92, 310,474.68 and 82,373.40 is: 123,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,944.92 : 310,474.68 = 82,373.40 : x
  2. Step 2: Convert to fraction form
    206,944.92/310,474.68 = 82,373.40/x
  3. Step 3: Cross multiply
    206,944.92x = 310,474.68 × 82,373.40
  4. Step 4: Simplify right side
    206,944.92x = 25,574,855,005.51
  5. Step 5: Solve for x
    x = 25,574,855,005.51/206,944.92
  6. Step 6: Final answer
    x = 123,582.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.