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Finding the Fourth Proportional to 105,073.87, 144,996 and 59,762.86

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Solution

The fourth proportional to 105,073.87, 144,996 and 59,762.86 is: 82,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,073.87 : 144,996 = 59,762.86 : x
  2. Step 2: Convert to fraction form
    105,073.87/144,996 = 59,762.86/x
  3. Step 3: Cross multiply
    105,073.87x = 144,996 × 59,762.86
  4. Step 4: Simplify right side
    105,073.87x = 8,665,375,648.56
  5. Step 5: Solve for x
    x = 8,665,375,648.56/105,073.87
  6. Step 6: Final answer
    x = 82,469.37

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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.