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Finding the Fourth Proportional to 127,695.12, 191,542.56 and 34,198.32

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Solution

The fourth proportional to 127,695.12, 191,542.56 and 34,198.32 is: 51,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,695.12 : 191,542.56 = 34,198.32 : x
  2. Step 2: Convert to fraction form
    127,695.12/191,542.56 = 34,198.32/x
  3. Step 3: Cross multiply
    127,695.12x = 191,542.56 × 34,198.32
  4. Step 4: Simplify right side
    127,695.12x = 6,550,433,760.50
  5. Step 5: Solve for x
    x = 6,550,433,760.50/127,695.12
  6. Step 6: Final answer
    x = 51,297.45

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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.