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Finding the Fourth Proportional to 127,663, 191,494.50 and 34,166.32

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Solution

The fourth proportional to 127,663, 191,494.50 and 34,166.32 is: 51,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,663 : 191,494.50 = 34,166.32 : x
  2. Step 2: Convert to fraction form
    127,663/191,494.50 = 34,166.32/x
  3. Step 3: Cross multiply
    127,663x = 191,494.50 × 34,166.32
  4. Step 4: Simplify right side
    127,663x = 6,542,662,365.24
  5. Step 5: Solve for x
    x = 6,542,662,365.24/127,663
  6. Step 6: Final answer
    x = 51,249.48

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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.