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Finding the Fourth Proportional to 194,708.84, 268,706.34 and 123,062.84

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Solution

The fourth proportional to 194,708.84, 268,706.34 and 123,062.84 is: 169,831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,708.84 : 268,706.34 = 123,062.84 : x
  2. Step 2: Convert to fraction form
    194,708.84/268,706.34 = 123,062.84/x
  3. Step 3: Cross multiply
    194,708.84x = 268,706.34 × 123,062.84
  4. Step 4: Simplify right side
    194,708.84x = 33,067,765,326.41
  5. Step 5: Solve for x
    x = 33,067,765,326.41/194,708.84
  6. Step 6: Final answer
    x = 169,831.86

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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.