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Finding the Fourth Proportional to 232,862, 321,349.56 and 126,878

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Solution

The fourth proportional to 232,862, 321,349.56 and 126,878 is: 175,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,862 : 321,349.56 = 126,878 : x
  2. Step 2: Convert to fraction form
    232,862/321,349.56 = 126,878/x
  3. Step 3: Cross multiply
    232,862x = 321,349.56 × 126,878
  4. Step 4: Simplify right side
    232,862x = 40,772,189,473.68
  5. Step 5: Solve for x
    x = 40,772,189,473.68/232,862
  6. Step 6: Final answer
    x = 175,091.64

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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.