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Finding the Fourth Proportional to 103,164.92, 154,747.38 and 68,096.38

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Solution

The fourth proportional to 103,164.92, 154,747.38 and 68,096.38 is: 102,144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,164.92 : 154,747.38 = 68,096.38 : x
  2. Step 2: Convert to fraction form
    103,164.92/154,747.38 = 68,096.38/x
  3. Step 3: Cross multiply
    103,164.92x = 154,747.38 × 68,096.38
  4. Step 4: Simplify right side
    103,164.92x = 10,537,736,392.48
  5. Step 5: Solve for x
    x = 10,537,736,392.48/103,164.92
  6. Step 6: Final answer
    x = 102,144.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.