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Finding the Fourth Proportional to 137,302.92, 205,952.22 and 100,099.08

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Solution

The fourth proportional to 137,302.92, 205,952.22 and 100,099.08 is: 150,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,302.92 : 205,952.22 = 100,099.08 : x
  2. Step 2: Convert to fraction form
    137,302.92/205,952.22 = 100,099.08/x
  3. Step 3: Cross multiply
    137,302.92x = 205,952.22 × 100,099.08
  4. Step 4: Simplify right side
    137,302.92x = 20,615,627,745.96
  5. Step 5: Solve for x
    x = 20,615,627,745.96/137,302.92
  6. Step 6: Final answer
    x = 150,147.05

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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.