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Finding the Fourth Proportional to 150,056, 225,086.16 and 39,248

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Solution

The fourth proportional to 150,056, 225,086.16 and 39,248 is: 58,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,056 : 225,086.16 = 39,248 : x
  2. Step 2: Convert to fraction form
    150,056/225,086.16 = 39,248/x
  3. Step 3: Cross multiply
    150,056x = 225,086.16 × 39,248
  4. Step 4: Simplify right side
    150,056x = 8,834,181,607.68
  5. Step 5: Solve for x
    x = 8,834,181,607.68/150,056
  6. Step 6: Final answer
    x = 58,872.56

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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.