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Finding the Fourth Proportional to 166,607.38, 229,824.74 and 102,107.87

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Solution

The fourth proportional to 166,607.38, 229,824.74 and 102,107.87 is: 140,851.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,607.38 : 229,824.74 = 102,107.87 : x
  2. Step 2: Convert to fraction form
    166,607.38/229,824.74 = 102,107.87/x
  3. Step 3: Cross multiply
    166,607.38x = 229,824.74 × 102,107.87
  4. Step 4: Simplify right side
    166,607.38x = 23,466,914,674.70
  5. Step 5: Solve for x
    x = 23,466,914,674.70/166,607.38
  6. Step 6: Final answer
    x = 140,851.59

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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.