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Finding the Fourth Proportional to 106,065.38, 146,370.76 and 58,321.80

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Solution

The fourth proportional to 106,065.38, 146,370.76 and 58,321.80 is: 80,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,065.38 : 146,370.76 = 58,321.80 : x
  2. Step 2: Convert to fraction form
    106,065.38/146,370.76 = 58,321.80/x
  3. Step 3: Cross multiply
    106,065.38x = 146,370.76 × 58,321.80
  4. Step 4: Simplify right side
    106,065.38x = 8,536,606,190.57
  5. Step 5: Solve for x
    x = 8,536,606,190.57/106,065.38
  6. Step 6: Final answer
    x = 80,484.38

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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.