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Finding the Fourth Proportional to 195,857, 270,365.34 and 132,280.91

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Solution

The fourth proportional to 195,857, 270,365.34 and 132,280.91 is: 182,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,857 : 270,365.34 = 132,280.91 : x
  2. Step 2: Convert to fraction form
    195,857/270,365.34 = 132,280.91/x
  3. Step 3: Cross multiply
    195,857x = 270,365.34 × 132,280.91
  4. Step 4: Simplify right side
    195,857x = 35,764,173,207.66
  5. Step 5: Solve for x
    x = 35,764,173,207.66/195,857
  6. Step 6: Final answer
    x = 182,603.50

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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.