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Finding the Fourth Proportional to 192,649.83, 265,867.10 and 107,761.83

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Solution

The fourth proportional to 192,649.83, 265,867.10 and 107,761.83 is: 148,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,649.83 : 265,867.10 = 107,761.83 : x
  2. Step 2: Convert to fraction form
    192,649.83/265,867.10 = 107,761.83/x
  3. Step 3: Cross multiply
    192,649.83x = 265,867.10 × 107,761.83
  4. Step 4: Simplify right side
    192,649.83x = 28,650,324,693.98
  5. Step 5: Solve for x
    x = 28,650,324,693.98/192,649.83
  6. Step 6: Final answer
    x = 148,717.10

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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.