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Finding the Fourth Proportional to 149,762.44, 206,670.90 and 82,693

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Solution

The fourth proportional to 149,762.44, 206,670.90 and 82,693 is: 114,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,762.44 : 206,670.90 = 82,693 : x
  2. Step 2: Convert to fraction form
    149,762.44/206,670.90 = 82,693/x
  3. Step 3: Cross multiply
    149,762.44x = 206,670.90 × 82,693
  4. Step 4: Simplify right side
    149,762.44x = 17,090,236,733.70
  5. Step 5: Solve for x
    x = 17,090,236,733.70/149,762.44
  6. Step 6: Final answer
    x = 114,115.64

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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.