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Finding the Fourth Proportional to 322,166.88, 444,564.26 and 186,209.63

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Solution

The fourth proportional to 322,166.88, 444,564.26 and 186,209.63 is: 256,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,166.88 : 444,564.26 = 186,209.63 : x
  2. Step 2: Convert to fraction form
    322,166.88/444,564.26 = 186,209.63/x
  3. Step 3: Cross multiply
    322,166.88x = 444,564.26 × 186,209.63
  4. Step 4: Simplify right side
    322,166.88x = 82,782,144,143.00
  5. Step 5: Solve for x
    x = 82,782,144,143.00/322,166.88
  6. Step 6: Final answer
    x = 256,954.24

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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.