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Finding the Fourth Proportional to 150,315.90, 207,435.99 and 82,334.01

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Solution

The fourth proportional to 150,315.90, 207,435.99 and 82,334.01 is: 113,620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,315.90 : 207,435.99 = 82,334.01 : x
  2. Step 2: Convert to fraction form
    150,315.90/207,435.99 = 82,334.01/x
  3. Step 3: Cross multiply
    150,315.90x = 207,435.99 × 82,334.01
  4. Step 4: Simplify right side
    150,315.90x = 17,079,037,961.66
  5. Step 5: Solve for x
    x = 17,079,037,961.66/150,315.90
  6. Step 6: Final answer
    x = 113,620.97

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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.