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Finding the Fourth Proportional to 151,912.71, 227,896.74 and 52,083

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Solution

The fourth proportional to 151,912.71, 227,896.74 and 52,083 is: 78,133.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,912.71 : 227,896.74 = 52,083 : x
  2. Step 2: Convert to fraction form
    151,912.71/227,896.74 = 52,083/x
  3. Step 3: Cross multiply
    151,912.71x = 227,896.74 × 52,083
  4. Step 4: Simplify right side
    151,912.71x = 11,869,545,909.42
  5. Step 5: Solve for x
    x = 11,869,545,909.42/151,912.71
  6. Step 6: Final answer
    x = 78,133.99

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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.