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Finding the Fourth Proportional to 257,263.29, 354,910.21 and 155,231.84

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Solution

The fourth proportional to 257,263.29, 354,910.21 and 155,231.84 is: 214,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,263.29 : 354,910.21 = 155,231.84 : x
  2. Step 2: Convert to fraction form
    257,263.29/354,910.21 = 155,231.84/x
  3. Step 3: Cross multiply
    257,263.29x = 354,910.21 × 155,231.84
  4. Step 4: Simplify right side
    257,263.29x = 55,093,365,432.28
  5. Step 5: Solve for x
    x = 55,093,365,432.28/257,263.29
  6. Step 6: Final answer
    x = 214,151.68

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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.