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Finding the Fourth Proportional to 150,494.46, 207,684.69 and 82,517.64

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Solution

The fourth proportional to 150,494.46, 207,684.69 and 82,517.64 is: 113,875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,494.46 : 207,684.69 = 82,517.64 : x
  2. Step 2: Convert to fraction form
    150,494.46/207,684.69 = 82,517.64/x
  3. Step 3: Cross multiply
    150,494.46x = 207,684.69 × 82,517.64
  4. Step 4: Simplify right side
    150,494.46x = 17,137,650,482.93
  5. Step 5: Solve for x
    x = 17,137,650,482.93/150,494.46
  6. Step 6: Final answer
    x = 113,875.62

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