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Finding the Fourth Proportional to 166,018, 229,104.84 and 106,402

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Solution

The fourth proportional to 166,018, 229,104.84 and 106,402 is: 146,834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,018 : 229,104.84 = 106,402 : x
  2. Step 2: Convert to fraction form
    166,018/229,104.84 = 106,402/x
  3. Step 3: Cross multiply
    166,018x = 229,104.84 × 106,402
  4. Step 4: Simplify right side
    166,018x = 24,377,213,185.68
  5. Step 5: Solve for x
    x = 24,377,213,185.68/166,018
  6. Step 6: Final answer
    x = 146,834.76

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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.