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Finding the Fourth Proportional to 101,644.50, 140,269.41 and 61,900.50

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Solution

The fourth proportional to 101,644.50, 140,269.41 and 61,900.50 is: 85,422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,644.50 : 140,269.41 = 61,900.50 : x
  2. Step 2: Convert to fraction form
    101,644.50/140,269.41 = 61,900.50/x
  3. Step 3: Cross multiply
    101,644.50x = 140,269.41 × 61,900.50
  4. Step 4: Simplify right side
    101,644.50x = 8,682,746,613.71
  5. Step 5: Solve for x
    x = 8,682,746,613.71/101,644.50
  6. Step 6: Final answer
    x = 85,422.69

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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.