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Finding the Fourth Proportional to 309,100.54, 463,650.81 and 168,782.62

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Solution

The fourth proportional to 309,100.54, 463,650.81 and 168,782.62 is: 253,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,100.54 : 463,650.81 = 168,782.62 : x
  2. Step 2: Convert to fraction form
    309,100.54/463,650.81 = 168,782.62/x
  3. Step 3: Cross multiply
    309,100.54x = 463,650.81 × 168,782.62
  4. Step 4: Simplify right side
    309,100.54x = 78,256,198,476.92
  5. Step 5: Solve for x
    x = 78,256,198,476.92/309,100.54
  6. Step 6: Final answer
    x = 253,173.93

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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.