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Finding the Fourth Proportional to 265,898.66, 397,911.83 and 166,105.85

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Solution

The fourth proportional to 265,898.66, 397,911.83 and 166,105.85 is: 248,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,898.66 : 397,911.83 = 166,105.85 : x
  2. Step 2: Convert to fraction form
    265,898.66/397,911.83 = 166,105.85/x
  3. Step 3: Cross multiply
    265,898.66x = 397,911.83 × 166,105.85
  4. Step 4: Simplify right side
    265,898.66x = 66,095,479,927.12
  5. Step 5: Solve for x
    x = 66,095,479,927.12/265,898.66
  6. Step 6: Final answer
    x = 248,573.95

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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.