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Finding the Fourth Proportional to 149,564.98, 206,385.33 and 82,492.66

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Solution

The fourth proportional to 149,564.98, 206,385.33 and 82,492.66 is: 113,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,564.98 : 206,385.33 = 82,492.66 : x
  2. Step 2: Convert to fraction form
    149,564.98/206,385.33 = 82,492.66/x
  3. Step 3: Cross multiply
    149,564.98x = 206,385.33 × 82,492.66
  4. Step 4: Simplify right side
    149,564.98x = 17,025,274,856.68
  5. Step 5: Solve for x
    x = 17,025,274,856.68/149,564.98
  6. Step 6: Final answer
    x = 113,831.96

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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.