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Finding the Fourth Proportional to 265,249.48, 397,875.30 and 107,480.92

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Solution

The fourth proportional to 265,249.48, 397,875.30 and 107,480.92 is: 161,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,249.48 : 397,875.30 = 107,480.92 : x
  2. Step 2: Convert to fraction form
    265,249.48/397,875.30 = 107,480.92/x
  3. Step 3: Cross multiply
    265,249.48x = 397,875.30 × 107,480.92
  4. Step 4: Simplify right side
    265,249.48x = 42,764,003,289.28
  5. Step 5: Solve for x
    x = 42,764,003,289.28/265,249.48
  6. Step 6: Final answer
    x = 161,221.82

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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.