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Finding the Fourth Proportional to 150,650.87, 207,891.20 and 82,666.14

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Solution

The fourth proportional to 150,650.87, 207,891.20 and 82,666.14 is: 114,075.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,650.87 : 207,891.20 = 82,666.14 : x
  2. Step 2: Convert to fraction form
    150,650.87/207,891.20 = 82,666.14/x
  3. Step 3: Cross multiply
    150,650.87x = 207,891.20 × 82,666.14
  4. Step 4: Simplify right side
    150,650.87x = 17,185,562,630.64
  5. Step 5: Solve for x
    x = 17,185,562,630.64/150,650.87
  6. Step 6: Final answer
    x = 114,075.43

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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.