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Finding the Fourth Proportional to 192,714, 265,945.38 and 107,847.48

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Solution

The fourth proportional to 192,714, 265,945.38 and 107,847.48 is: 148,829.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,714 : 265,945.38 = 107,847.48 : x
  2. Step 2: Convert to fraction form
    192,714/265,945.38 = 107,847.48/x
  3. Step 3: Cross multiply
    192,714x = 265,945.38 × 107,847.48
  4. Step 4: Simplify right side
    192,714x = 28,681,539,050.64
  5. Step 5: Solve for x
    x = 28,681,539,050.64/192,714
  6. Step 6: Final answer
    x = 148,829.56

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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.