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Finding the Fourth Proportional to 106,081.94, 146,389.29 and 58,334.87

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Solution

The fourth proportional to 106,081.94, 146,389.29 and 58,334.87 is: 80,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,081.94 : 146,389.29 = 58,334.87 : x
  2. Step 2: Convert to fraction form
    106,081.94/146,389.29 = 58,334.87/x
  3. Step 3: Cross multiply
    106,081.94x = 146,389.29 × 58,334.87
  4. Step 4: Simplify right side
    106,081.94x = 8,539,600,201.54
  5. Step 5: Solve for x
    x = 8,539,600,201.54/106,081.94
  6. Step 6: Final answer
    x = 80,500.04

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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.