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Finding the Fourth Proportional to 257,035.84, 354,913.44 and 171,077.44

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Solution

The fourth proportional to 257,035.84, 354,913.44 and 171,077.44 is: 236,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,035.84 : 354,913.44 = 171,077.44 : x
  2. Step 2: Convert to fraction form
    257,035.84/354,913.44 = 171,077.44/x
  3. Step 3: Cross multiply
    257,035.84x = 354,913.44 × 171,077.44
  4. Step 4: Simplify right side
    257,035.84x = 60,717,682,736.79
  5. Step 5: Solve for x
    x = 60,717,682,736.79/257,035.84
  6. Step 6: Final answer
    x = 236,222.63

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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.