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Finding the Fourth Proportional to 100,741.92, 151,099.92 and 34,179.36

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Solution

The fourth proportional to 100,741.92, 151,099.92 and 34,179.36 is: 51,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,741.92 : 151,099.92 = 34,179.36 : x
  2. Step 2: Convert to fraction form
    100,741.92/151,099.92 = 34,179.36/x
  3. Step 3: Cross multiply
    100,741.92x = 151,099.92 × 34,179.36
  4. Step 4: Simplify right side
    100,741.92x = 5,164,498,561.65
  5. Step 5: Solve for x
    x = 5,164,498,561.65/100,741.92
  6. Step 6: Final answer
    x = 51,264.64

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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.