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Finding the Fourth Proportional to 301,949.12, 416,694.96 and 165,988.80

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Solution

The fourth proportional to 301,949.12, 416,694.96 and 165,988.80 is: 229,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,949.12 : 416,694.96 = 165,988.80 : x
  2. Step 2: Convert to fraction form
    301,949.12/416,694.96 = 165,988.80/x
  3. Step 3: Cross multiply
    301,949.12x = 416,694.96 × 165,988.80
  4. Step 4: Simplify right side
    301,949.12x = 69,166,696,376.45
  5. Step 5: Solve for x
    x = 69,166,696,376.45/301,949.12
  6. Step 6: Final answer
    x = 229,067.39

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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.