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Finding the Fourth Proportional to 276,111.50, 414,121.11 and 76,452.07

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Solution

The fourth proportional to 276,111.50, 414,121.11 and 76,452.07 is: 114,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,111.50 : 414,121.11 = 76,452.07 : x
  2. Step 2: Convert to fraction form
    276,111.50/414,121.11 = 76,452.07/x
  3. Step 3: Cross multiply
    276,111.50x = 414,121.11 × 76,452.07
  4. Step 4: Simplify right side
    276,111.50x = 31,660,413,637.33
  5. Step 5: Solve for x
    x = 31,660,413,637.33/276,111.50
  6. Step 6: Final answer
    x = 114,665.32

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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.