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Finding the Fourth Proportional to 217,234.60, 325,895.10 and 182,415.40

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Solution

The fourth proportional to 217,234.60, 325,895.10 and 182,415.40 is: 273,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,234.60 : 325,895.10 = 182,415.40 : x
  2. Step 2: Convert to fraction form
    217,234.60/325,895.10 = 182,415.40/x
  3. Step 3: Cross multiply
    217,234.60x = 325,895.10 × 182,415.40
  4. Step 4: Simplify right side
    217,234.60x = 59,448,285,024.54
  5. Step 5: Solve for x
    x = 59,448,285,024.54/217,234.60
  6. Step 6: Final answer
    x = 273,659.38

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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.