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Finding the Fourth Proportional to 169,789.46, 234,310.84 and 106,164.14

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Solution

The fourth proportional to 169,789.46, 234,310.84 and 106,164.14 is: 146,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,789.46 : 234,310.84 = 106,164.14 : x
  2. Step 2: Convert to fraction form
    169,789.46/234,310.84 = 106,164.14/x
  3. Step 3: Cross multiply
    169,789.46x = 234,310.84 × 106,164.14
  4. Step 4: Simplify right side
    169,789.46x = 24,875,407,384.31
  5. Step 5: Solve for x
    x = 24,875,407,384.31/169,789.46
  6. Step 6: Final answer
    x = 146,507.38

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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.