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Finding the Fourth Proportional to 543,207.92, 814,627.32 and 188,138.96

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Solution

The fourth proportional to 543,207.92, 814,627.32 and 188,138.96 is: 282,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,207.92 : 814,627.32 = 188,138.96 : x
  2. Step 2: Convert to fraction form
    543,207.92/814,627.32 = 188,138.96/x
  3. Step 3: Cross multiply
    543,207.92x = 814,627.32 × 188,138.96
  4. Step 4: Simplify right side
    543,207.92x = 153,263,136,772.39
  5. Step 5: Solve for x
    x = 153,263,136,772.39/543,207.92
  6. Step 6: Final answer
    x = 282,144.52

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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.