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Finding the Fourth Proportional to 106,246.17, 146,619.90 and 57,847.86

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Solution

The fourth proportional to 106,246.17, 146,619.90 and 57,847.86 is: 79,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,246.17 : 146,619.90 = 57,847.86 : x
  2. Step 2: Convert to fraction form
    106,246.17/146,619.90 = 57,847.86/x
  3. Step 3: Cross multiply
    106,246.17x = 146,619.90 × 57,847.86
  4. Step 4: Simplify right side
    106,246.17x = 8,481,647,448.41
  5. Step 5: Solve for x
    x = 8,481,647,448.41/106,246.17
  6. Step 6: Final answer
    x = 79,830.15

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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.