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Finding the Fourth Proportional to 259,661.70, 389,257.45 and 101,847.78

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Solution

The fourth proportional to 259,661.70, 389,257.45 and 101,847.78 is: 152,679.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,661.70 : 389,257.45 = 101,847.78 : x
  2. Step 2: Convert to fraction form
    259,661.70/389,257.45 = 101,847.78/x
  3. Step 3: Cross multiply
    259,661.70x = 389,257.45 × 101,847.78
  4. Step 4: Simplify right side
    259,661.70x = 39,645,006,876.34
  5. Step 5: Solve for x
    x = 39,645,006,876.34/259,661.70
  6. Step 6: Final answer
    x = 152,679.46

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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.