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Finding the Fourth Proportional to 127,912.16, 191,853.48 and 34,410.56

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Solution

The fourth proportional to 127,912.16, 191,853.48 and 34,410.56 is: 51,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,912.16 : 191,853.48 = 34,410.56 : x
  2. Step 2: Convert to fraction form
    127,912.16/191,853.48 = 34,410.56/x
  3. Step 3: Cross multiply
    127,912.16x = 191,853.48 × 34,410.56
  4. Step 4: Simplify right side
    127,912.16x = 6,601,785,684.75
  5. Step 5: Solve for x
    x = 6,601,785,684.75/127,912.16
  6. Step 6: Final answer
    x = 51,611.87

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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.