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Finding the Fourth Proportional to 191,524.54, 287,087.23 and 107,161.01

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Solution

The fourth proportional to 191,524.54, 287,087.23 and 107,161.01 is: 160,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,524.54 : 287,087.23 = 107,161.01 : x
  2. Step 2: Convert to fraction form
    191,524.54/287,087.23 = 107,161.01/x
  3. Step 3: Cross multiply
    191,524.54x = 287,087.23 × 107,161.01
  4. Step 4: Simplify right side
    191,524.54x = 30,764,557,974.72
  5. Step 5: Solve for x
    x = 30,764,557,974.72/191,524.54
  6. Step 6: Final answer
    x = 160,629.85

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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.