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Finding the Fourth Proportional to 149,719.96, 206,601.13 and 85,172.02

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Solution

The fourth proportional to 149,719.96, 206,601.13 and 85,172.02 is: 117,530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,719.96 : 206,601.13 = 85,172.02 : x
  2. Step 2: Convert to fraction form
    149,719.96/206,601.13 = 85,172.02/x
  3. Step 3: Cross multiply
    149,719.96x = 206,601.13 × 85,172.02
  4. Step 4: Simplify right side
    149,719.96x = 17,596,635,576.38
  5. Step 5: Solve for x
    x = 17,596,635,576.38/149,719.96
  6. Step 6: Final answer
    x = 117,530.33

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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.