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Finding the Fourth Proportional to 234,586.54, 323,700.44 and 166,578.74

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Solution

The fourth proportional to 234,586.54, 323,700.44 and 166,578.74 is: 229,858.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,586.54 : 323,700.44 = 166,578.74 : x
  2. Step 2: Convert to fraction form
    234,586.54/323,700.44 = 166,578.74/x
  3. Step 3: Cross multiply
    234,586.54x = 323,700.44 × 166,578.74
  4. Step 4: Simplify right side
    234,586.54x = 53,921,608,981.25
  5. Step 5: Solve for x
    x = 53,921,608,981.25/234,586.54
  6. Step 6: Final answer
    x = 229,858.07

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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.