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Finding the Fourth Proportional to 207,906.72, 311,867.87 and 94,032.87

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Solution

The fourth proportional to 207,906.72, 311,867.87 and 94,032.87 is: 141,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,906.72 : 311,867.87 = 94,032.87 : x
  2. Step 2: Convert to fraction form
    207,906.72/311,867.87 = 94,032.87/x
  3. Step 3: Cross multiply
    207,906.72x = 311,867.87 × 94,032.87
  4. Step 4: Simplify right side
    207,906.72x = 29,325,828,847.38
  5. Step 5: Solve for x
    x = 29,325,828,847.38/207,906.72
  6. Step 6: Final answer
    x = 141,052.82

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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.