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Finding the Fourth Proportional to 195,858, 293,790.24 and 85,050

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Solution

The fourth proportional to 195,858, 293,790.24 and 85,050 is: 127,576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,858 : 293,790.24 = 85,050 : x
  2. Step 2: Convert to fraction form
    195,858/293,790.24 = 85,050/x
  3. Step 3: Cross multiply
    195,858x = 293,790.24 × 85,050
  4. Step 4: Simplify right side
    195,858x = 24,986,859,912
  5. Step 5: Solve for x
    x = 24,986,859,912/195,858
  6. Step 6: Final answer
    x = 127,576.41

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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.