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Finding the Fourth Proportional to 213,794.06, 295,066.94 and 123,132.38

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Solution

The fourth proportional to 213,794.06, 295,066.94 and 123,132.38 is: 169,940.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,794.06 : 295,066.94 = 123,132.38 : x
  2. Step 2: Convert to fraction form
    213,794.06/295,066.94 = 123,132.38/x
  3. Step 3: Cross multiply
    213,794.06x = 295,066.94 × 123,132.38
  4. Step 4: Simplify right side
    213,794.06x = 36,332,292,490.52
  5. Step 5: Solve for x
    x = 36,332,292,490.52/213,794.06
  6. Step 6: Final answer
    x = 169,940.61

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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.