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Finding the Fourth Proportional to 140,380.26, 210,592.26 and 84,207.17

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Solution

The fourth proportional to 140,380.26, 210,592.26 and 84,207.17 is: 126,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,380.26 : 210,592.26 = 84,207.17 : x
  2. Step 2: Convert to fraction form
    140,380.26/210,592.26 = 84,207.17/x
  3. Step 3: Cross multiply
    140,380.26x = 210,592.26 × 84,207.17
  4. Step 4: Simplify right side
    140,380.26x = 17,733,378,238.50
  5. Step 5: Solve for x
    x = 17,733,378,238.50/140,380.26
  6. Step 6: Final answer
    x = 126,323.87

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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.