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Finding the Fourth Proportional to 257,223.20, 354,881.66 and 149,770.22

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Solution

The fourth proportional to 257,223.20, 354,881.66 and 149,770.22 is: 206,632.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,223.20 : 354,881.66 = 149,770.22 : x
  2. Step 2: Convert to fraction form
    257,223.20/354,881.66 = 149,770.22/x
  3. Step 3: Cross multiply
    257,223.20x = 354,881.66 × 149,770.22
  4. Step 4: Simplify right side
    257,223.20x = 53,150,704,292.17
  5. Step 5: Solve for x
    x = 53,150,704,292.17/257,223.20
  6. Step 6: Final answer
    x = 206,632.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.