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Finding the Fourth Proportional to 206,856.04, 310,376.22 and 108,337

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Solution

The fourth proportional to 206,856.04, 310,376.22 and 108,337 is: 162,553.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,856.04 : 310,376.22 = 108,337 : x
  2. Step 2: Convert to fraction form
    206,856.04/310,376.22 = 108,337/x
  3. Step 3: Cross multiply
    206,856.04x = 310,376.22 × 108,337
  4. Step 4: Simplify right side
    206,856.04x = 33,625,228,546.14
  5. Step 5: Solve for x
    x = 33,625,228,546.14/206,856.04
  6. Step 6: Final answer
    x = 162,553.77

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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.