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Finding the Fourth Proportional to 257,846.76, 355,822.92 and 143,118.64

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Solution

The fourth proportional to 257,846.76, 355,822.92 and 143,118.64 is: 197,500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,846.76 : 355,822.92 = 143,118.64 : x
  2. Step 2: Convert to fraction form
    257,846.76/355,822.92 = 143,118.64/x
  3. Step 3: Cross multiply
    257,846.76x = 355,822.92 × 143,118.64
  4. Step 4: Simplify right side
    257,846.76x = 50,924,892,391.23
  5. Step 5: Solve for x
    x = 50,924,892,391.23/257,846.76
  6. Step 6: Final answer
    x = 197,500.61

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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.