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Finding the Fourth Proportional to 195,786.70, 293,570.70 and 83,447.80

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Solution

The fourth proportional to 195,786.70, 293,570.70 and 83,447.80 is: 125,125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,786.70 : 293,570.70 = 83,447.80 : x
  2. Step 2: Convert to fraction form
    195,786.70/293,570.70 = 83,447.80/x
  3. Step 3: Cross multiply
    195,786.70x = 293,570.70 × 83,447.80
  4. Step 4: Simplify right side
    195,786.70x = 24,497,829,059.46
  5. Step 5: Solve for x
    x = 24,497,829,059.46/195,786.70
  6. Step 6: Final answer
    x = 125,125.09

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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.