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Finding the Fourth Proportional to 270,042.60, 404,286.30 and 165,066.60

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Solution

The fourth proportional to 270,042.60, 404,286.30 and 165,066.60 is: 247,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,042.60 : 404,286.30 = 165,066.60 : x
  2. Step 2: Convert to fraction form
    270,042.60/404,286.30 = 165,066.60/x
  3. Step 3: Cross multiply
    270,042.60x = 404,286.30 × 165,066.60
  4. Step 4: Simplify right side
    270,042.60x = 66,734,164,967.58
  5. Step 5: Solve for x
    x = 66,734,164,967.58/270,042.60
  6. Step 6: Final answer
    x = 247,124.58

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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.