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Finding the Fourth Proportional to 257,219.64, 354,180.87 and 228,121.20

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Solution

The fourth proportional to 257,219.64, 354,180.87 and 228,121.20 is: 314,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,219.64 : 354,180.87 = 228,121.20 : x
  2. Step 2: Convert to fraction form
    257,219.64/354,180.87 = 228,121.20/x
  3. Step 3: Cross multiply
    257,219.64x = 354,180.87 × 228,121.20
  4. Step 4: Simplify right side
    257,219.64x = 80,796,165,081.44
  5. Step 5: Solve for x
    x = 80,796,165,081.44/257,219.64
  6. Step 6: Final answer
    x = 314,113.51

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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.