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Finding the Fourth Proportional to 171,843.36, 257,769.36 and 47,184

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Solution

The fourth proportional to 171,843.36, 257,769.36 and 47,184 is: 70,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,843.36 : 257,769.36 = 47,184 : x
  2. Step 2: Convert to fraction form
    171,843.36/257,769.36 = 47,184/x
  3. Step 3: Cross multiply
    171,843.36x = 257,769.36 × 47,184
  4. Step 4: Simplify right side
    171,843.36x = 12,162,589,482.24
  5. Step 5: Solve for x
    x = 12,162,589,482.24/171,843.36
  6. Step 6: Final answer
    x = 70,777.19

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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.