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Finding the Fourth Proportional to 295,079.28, 407,194.20 and 160,917.36

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Solution

The fourth proportional to 295,079.28, 407,194.20 and 160,917.36 is: 222,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,079.28 : 407,194.20 = 160,917.36 : x
  2. Step 2: Convert to fraction form
    295,079.28/407,194.20 = 160,917.36/x
  3. Step 3: Cross multiply
    295,079.28x = 407,194.20 × 160,917.36
  4. Step 4: Simplify right side
    295,079.28x = 65,524,615,671.31
  5. Step 5: Solve for x
    x = 65,524,615,671.31/295,079.28
  6. Step 6: Final answer
    x = 222,057.66

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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.