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Finding the Fourth Proportional to 151,438.88, 227,114.57 and 51,596.87

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Solution

The fourth proportional to 151,438.88, 227,114.57 and 51,596.87 is: 77,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,438.88 : 227,114.57 = 51,596.87 : x
  2. Step 2: Convert to fraction form
    151,438.88/227,114.57 = 51,596.87/x
  3. Step 3: Cross multiply
    151,438.88x = 227,114.57 × 51,596.87
  4. Step 4: Simplify right side
    151,438.88x = 11,718,399,936.82
  5. Step 5: Solve for x
    x = 11,718,399,936.82/151,438.88
  6. Step 6: Final answer
    x = 77,380.39

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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.