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Finding the Fourth Proportional to 127,742.52, 191,599.20 and 34,240.98

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Solution

The fourth proportional to 127,742.52, 191,599.20 and 34,240.98 is: 51,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,742.52 : 191,599.20 = 34,240.98 : x
  2. Step 2: Convert to fraction form
    127,742.52/191,599.20 = 34,240.98/x
  3. Step 3: Cross multiply
    127,742.52x = 191,599.20 × 34,240.98
  4. Step 4: Simplify right side
    127,742.52x = 6,560,544,375.22
  5. Step 5: Solve for x
    x = 6,560,544,375.22/127,742.52
  6. Step 6: Final answer
    x = 51,357.56

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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.