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Finding the Fourth Proportional to 150,522.68, 207,723.66 and 82,545.86

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Solution

The fourth proportional to 150,522.68, 207,723.66 and 82,545.86 is: 113,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,522.68 : 207,723.66 = 82,545.86 : x
  2. Step 2: Convert to fraction form
    150,522.68/207,723.66 = 82,545.86/x
  3. Step 3: Cross multiply
    150,522.68x = 207,723.66 × 82,545.86
  4. Step 4: Simplify right side
    150,522.68x = 17,146,728,157.05
  5. Step 5: Solve for x
    x = 17,146,728,157.05/150,522.68
  6. Step 6: Final answer
    x = 113,914.58

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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.