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Finding the Fourth Proportional to 279,466.92, 419,324.96 and 101,932.43

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Solution

The fourth proportional to 279,466.92, 419,324.96 and 101,932.43 is: 152,944.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,466.92 : 419,324.96 = 101,932.43 : x
  2. Step 2: Convert to fraction form
    279,466.92/419,324.96 = 101,932.43/x
  3. Step 3: Cross multiply
    279,466.92x = 419,324.96 × 101,932.43
  4. Step 4: Simplify right side
    279,466.92x = 42,742,810,290.66
  5. Step 5: Solve for x
    x = 42,742,810,290.66/279,466.92
  6. Step 6: Final answer
    x = 152,944.08

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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.