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Finding the Fourth Proportional to 149,693.81, 206,577.65 and 82,625.81

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Solution

The fourth proportional to 149,693.81, 206,577.65 and 82,625.81 is: 114,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,693.81 : 206,577.65 = 82,625.81 : x
  2. Step 2: Convert to fraction form
    149,693.81/206,577.65 = 82,625.81/x
  3. Step 3: Cross multiply
    149,693.81x = 206,577.65 × 82,625.81
  4. Step 4: Simplify right side
    149,693.81x = 17,068,645,659.15
  5. Step 5: Solve for x
    x = 17,068,645,659.15/149,693.81
  6. Step 6: Final answer
    x = 114,023.72

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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.