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Finding the Fourth Proportional to 150,493.77, 207,682.00 and 82,511.79

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Solution

The fourth proportional to 150,493.77, 207,682.00 and 82,511.79 is: 113,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,493.77 : 207,682.00 = 82,511.79 : x
  2. Step 2: Convert to fraction form
    150,493.77/207,682.00 = 82,511.79/x
  3. Step 3: Cross multiply
    150,493.77x = 207,682.00 × 82,511.79
  4. Step 4: Simplify right side
    150,493.77x = 17,136,213,401.86
  5. Step 5: Solve for x
    x = 17,136,213,401.86/150,493.77
  6. Step 6: Final answer
    x = 113,866.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.