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Finding the Fourth Proportional to 171,843.49, 257,769.55 and 47,184.13

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Solution

The fourth proportional to 171,843.49, 257,769.55 and 47,184.13 is: 70,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,843.49 : 257,769.55 = 47,184.13 : x
  2. Step 2: Convert to fraction form
    171,843.49/257,769.55 = 47,184.13/x
  3. Step 3: Cross multiply
    171,843.49x = 257,769.55 × 47,184.13
  4. Step 4: Simplify right side
    171,843.49x = 12,162,631,957.24
  5. Step 5: Solve for x
    x = 12,162,631,957.24/171,843.49
  6. Step 6: Final answer
    x = 70,777.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.