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Finding the Fourth Proportional to 252,242.25, 378,185.97 and 117,162.91

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Solution

The fourth proportional to 252,242.25, 378,185.97 and 117,162.91 is: 175,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,242.25 : 378,185.97 = 117,162.91 : x
  2. Step 2: Convert to fraction form
    252,242.25/378,185.97 = 117,162.91/x
  3. Step 3: Cross multiply
    252,242.25x = 378,185.97 × 117,162.91
  4. Step 4: Simplify right side
    252,242.25x = 44,309,368,766.37
  5. Step 5: Solve for x
    x = 44,309,368,766.37/252,242.25
  6. Step 6: Final answer
    x = 175,661.96

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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.