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Finding the Fourth Proportional to 269,781.80, 372,296.81 and 148,923.16

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Solution

The fourth proportional to 269,781.80, 372,296.81 and 148,923.16 is: 205,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,781.80 : 372,296.81 = 148,923.16 : x
  2. Step 2: Convert to fraction form
    269,781.80/372,296.81 = 148,923.16/x
  3. Step 3: Cross multiply
    269,781.80x = 372,296.81 × 148,923.16
  4. Step 4: Simplify right side
    269,781.80x = 55,443,616,844.69
  5. Step 5: Solve for x
    x = 55,443,616,844.69/269,781.80
  6. Step 6: Final answer
    x = 205,512.82

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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.