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Finding the Fourth Proportional to 150,382.98, 207,532.94 and 82,405.96

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Solution

The fourth proportional to 150,382.98, 207,532.94 and 82,405.96 is: 113,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,382.98 : 207,532.94 = 82,405.96 : x
  2. Step 2: Convert to fraction form
    150,382.98/207,532.94 = 82,405.96/x
  3. Step 3: Cross multiply
    150,382.98x = 207,532.94 × 82,405.96
  4. Step 4: Simplify right side
    150,382.98x = 17,101,950,221.46
  5. Step 5: Solve for x
    x = 17,101,950,221.46/150,382.98
  6. Step 6: Final answer
    x = 113,722.64

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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.