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Finding the Fourth Proportional to 150,214.70, 207,288.32 and 85,685.65

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Solution

The fourth proportional to 150,214.70, 207,288.32 and 85,685.65 is: 118,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,214.70 : 207,288.32 = 85,685.65 : x
  2. Step 2: Convert to fraction form
    150,214.70/207,288.32 = 85,685.65/x
  3. Step 3: Cross multiply
    150,214.70x = 207,288.32 × 85,685.65
  4. Step 4: Simplify right side
    150,214.70x = 17,761,633,489.96
  5. Step 5: Solve for x
    x = 17,761,633,489.96/150,214.70
  6. Step 6: Final answer
    x = 118,241.64

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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.