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Finding the Fourth Proportional to 105,894.88, 146,140.24 and 58,147.68

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Solution

The fourth proportional to 105,894.88, 146,140.24 and 58,147.68 is: 80,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,894.88 : 146,140.24 = 58,147.68 : x
  2. Step 2: Convert to fraction form
    105,894.88/146,140.24 = 58,147.68/x
  3. Step 3: Cross multiply
    105,894.88x = 146,140.24 × 58,147.68
  4. Step 4: Simplify right side
    105,894.88x = 8,497,715,910.64
  5. Step 5: Solve for x
    x = 8,497,715,910.64/105,894.88
  6. Step 6: Final answer
    x = 80,246.71

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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.