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Finding the Fourth Proportional to 127,614.78, 191,449.98 and 48,751.56

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Solution

The fourth proportional to 127,614.78, 191,449.98 and 48,751.56 is: 73,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,614.78 : 191,449.98 = 48,751.56 : x
  2. Step 2: Convert to fraction form
    127,614.78/191,449.98 = 48,751.56/x
  3. Step 3: Cross multiply
    127,614.78x = 191,449.98 × 48,751.56
  4. Step 4: Simplify right side
    127,614.78x = 9,333,485,186.97
  5. Step 5: Solve for x
    x = 9,333,485,186.97/127,614.78
  6. Step 6: Final answer
    x = 73,137.96

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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.