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Finding the Fourth Proportional to 270,033.60, 404,272.80 and 165,057.60

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Solution

The fourth proportional to 270,033.60, 404,272.80 and 165,057.60 is: 247,111.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,033.60 : 404,272.80 = 165,057.60 : x
  2. Step 2: Convert to fraction form
    270,033.60/404,272.80 = 165,057.60/x
  3. Step 3: Cross multiply
    270,033.60x = 404,272.80 × 165,057.60
  4. Step 4: Simplify right side
    270,033.60x = 66,728,298,113.28
  5. Step 5: Solve for x
    x = 66,728,298,113.28/270,033.60
  6. Step 6: Final answer
    x = 247,111.09

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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.