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Finding the Fourth Proportional to 392,100.93, 588,104.64 and 107,820.36

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Solution

The fourth proportional to 392,100.93, 588,104.64 and 107,820.36 is: 161,717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,100.93 : 588,104.64 = 107,820.36 : x
  2. Step 2: Convert to fraction form
    392,100.93/588,104.64 = 107,820.36/x
  3. Step 3: Cross multiply
    392,100.93x = 588,104.64 × 107,820.36
  4. Step 4: Simplify right side
    392,100.93x = 63,409,654,002.47
  5. Step 5: Solve for x
    x = 63,409,654,002.47/392,100.93
  6. Step 6: Final answer
    x = 161,717.68

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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.