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Finding the Fourth Proportional to 329,166.05, 493,891.68 and 116,086.22

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Solution

The fourth proportional to 329,166.05, 493,891.68 and 116,086.22 is: 174,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,166.05 : 493,891.68 = 116,086.22 : x
  2. Step 2: Convert to fraction form
    329,166.05/493,891.68 = 116,086.22/x
  3. Step 3: Cross multiply
    329,166.05x = 493,891.68 × 116,086.22
  4. Step 4: Simplify right side
    329,166.05x = 57,334,018,220.65
  5. Step 5: Solve for x
    x = 57,334,018,220.65/329,166.05
  6. Step 6: Final answer
    x = 174,179.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.