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Finding the Fourth Proportional to 106,163.41, 146,509.41 and 58,418.77

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Solution

The fourth proportional to 106,163.41, 146,509.41 and 58,418.77 is: 80,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,163.41 : 146,509.41 = 58,418.77 : x
  2. Step 2: Convert to fraction form
    106,163.41/146,509.41 = 58,418.77/x
  3. Step 3: Cross multiply
    106,163.41x = 146,509.41 × 58,418.77
  4. Step 4: Simplify right side
    106,163.41x = 8,558,899,525.63
  5. Step 5: Solve for x
    x = 8,558,899,525.63/106,163.41
  6. Step 6: Final answer
    x = 80,620.05

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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.