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Finding the Fourth Proportional to 150,343.96, 207,423.16 and 85,766.80

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Solution

The fourth proportional to 150,343.96, 207,423.16 and 85,766.80 is: 118,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,343.96 : 207,423.16 = 85,766.80 : x
  2. Step 2: Convert to fraction form
    150,343.96/207,423.16 = 85,766.80/x
  3. Step 3: Cross multiply
    150,343.96x = 207,423.16 × 85,766.80
  4. Step 4: Simplify right side
    150,343.96x = 17,790,020,679.09
  5. Step 5: Solve for x
    x = 17,790,020,679.09/150,343.96
  6. Step 6: Final answer
    x = 118,328.80

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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.