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Finding the Fourth Proportional to 257,954.22, 355,971.78 and 143,226.95

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Solution

The fourth proportional to 257,954.22, 355,971.78 and 143,226.95 is: 197,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,954.22 : 355,971.78 = 143,226.95 : x
  2. Step 2: Convert to fraction form
    257,954.22/355,971.78 = 143,226.95/x
  3. Step 3: Cross multiply
    257,954.22x = 355,971.78 × 143,226.95
  4. Step 4: Simplify right side
    257,954.22x = 50,984,750,555.61
  5. Step 5: Solve for x
    x = 50,984,750,555.61/257,954.22
  6. Step 6: Final answer
    x = 197,650.38

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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.