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Finding the Fourth Proportional to 166,019, 229,106.22 and 106,403

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Solution

The fourth proportional to 166,019, 229,106.22 and 106,403 is: 146,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,019 : 229,106.22 = 106,403 : x
  2. Step 2: Convert to fraction form
    166,019/229,106.22 = 106,403/x
  3. Step 3: Cross multiply
    166,019x = 229,106.22 × 106,403
  4. Step 4: Simplify right side
    166,019x = 24,377,589,126.66
  5. Step 5: Solve for x
    x = 24,377,589,126.66/166,019
  6. Step 6: Final answer
    x = 146,836.14

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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.