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Finding the Fourth Proportional to 192,422.54, 265,543.50 and 107,539.61

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Solution

The fourth proportional to 192,422.54, 265,543.50 and 107,539.61 is: 148,404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,422.54 : 265,543.50 = 107,539.61 : x
  2. Step 2: Convert to fraction form
    192,422.54/265,543.50 = 107,539.61/x
  3. Step 3: Cross multiply
    192,422.54x = 265,543.50 × 107,539.61
  4. Step 4: Simplify right side
    192,422.54x = 28,556,443,100.32
  5. Step 5: Solve for x
    x = 28,556,443,100.32/192,422.54
  6. Step 6: Final answer
    x = 148,404.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.