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Finding the Fourth Proportional to 257,260.88, 354,906.93 and 155,229.43

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Solution

The fourth proportional to 257,260.88, 354,906.93 and 155,229.43 is: 214,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,260.88 : 354,906.93 = 155,229.43 : x
  2. Step 2: Convert to fraction form
    257,260.88/354,906.93 = 155,229.43/x
  3. Step 3: Cross multiply
    257,260.88x = 354,906.93 × 155,229.43
  4. Step 4: Simplify right side
    257,260.88x = 55,092,000,446.95
  5. Step 5: Solve for x
    x = 55,092,000,446.95/257,260.88
  6. Step 6: Final answer
    x = 214,148.38

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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.