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Finding the Fourth Proportional to 166,238.00, 229,483.97 and 105,891.38

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Solution

The fourth proportional to 166,238.00, 229,483.97 and 105,891.38 is: 146,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,238.00 : 229,483.97 = 105,891.38 : x
  2. Step 2: Convert to fraction form
    166,238.00/229,483.97 = 105,891.38/x
  3. Step 3: Cross multiply
    166,238.00x = 229,483.97 × 105,891.38
  4. Step 4: Simplify right side
    166,238.00x = 24,300,372,594.30
  5. Step 5: Solve for x
    x = 24,300,372,594.30/166,238.00
  6. Step 6: Final answer
    x = 146,178.21

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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.