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Finding the Fourth Proportional to 127,782.36, 191,530.17 and 43,463.79

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Solution

The fourth proportional to 127,782.36, 191,530.17 and 43,463.79 is: 65,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,782.36 : 191,530.17 = 43,463.79 : x
  2. Step 2: Convert to fraction form
    127,782.36/191,530.17 = 43,463.79/x
  3. Step 3: Cross multiply
    127,782.36x = 191,530.17 × 43,463.79
  4. Step 4: Simplify right side
    127,782.36x = 8,324,627,087.54
  5. Step 5: Solve for x
    x = 8,324,627,087.54/127,782.36
  6. Step 6: Final answer
    x = 65,146.92

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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.