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Finding the Fourth Proportional to 150,517, 225,790.62 and 39,709

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Solution

The fourth proportional to 150,517, 225,790.62 and 39,709 is: 59,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,517 : 225,790.62 = 39,709 : x
  2. Step 2: Convert to fraction form
    150,517/225,790.62 = 39,709/x
  3. Step 3: Cross multiply
    150,517x = 225,790.62 × 39,709
  4. Step 4: Simplify right side
    150,517x = 8,965,919,729.58
  5. Step 5: Solve for x
    x = 8,965,919,729.58/150,517
  6. Step 6: Final answer
    x = 59,567.49

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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.