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Finding the Fourth Proportional to 171,800.24, 257,724.66 and 53,483.54

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Solution

The fourth proportional to 171,800.24, 257,724.66 and 53,483.54 is: 80,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,800.24 : 257,724.66 = 53,483.54 : x
  2. Step 2: Convert to fraction form
    171,800.24/257,724.66 = 53,483.54/x
  3. Step 3: Cross multiply
    171,800.24x = 257,724.66 × 53,483.54
  4. Step 4: Simplify right side
    171,800.24x = 13,784,027,162.10
  5. Step 5: Solve for x
    x = 13,784,027,162.10/171,800.24
  6. Step 6: Final answer
    x = 80,232.87

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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.