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Finding the Fourth Proportional to 106,029.75, 146,321.36 and 60,708.43

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Solution

The fourth proportional to 106,029.75, 146,321.36 and 60,708.43 is: 83,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,029.75 : 146,321.36 = 60,708.43 : x
  2. Step 2: Convert to fraction form
    106,029.75/146,321.36 = 60,708.43/x
  3. Step 3: Cross multiply
    106,029.75x = 146,321.36 × 60,708.43
  4. Step 4: Simplify right side
    106,029.75x = 8,882,939,599.38
  5. Step 5: Solve for x
    x = 8,882,939,599.38/106,029.75
  6. Step 6: Final answer
    x = 83,777.80

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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.