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Finding the Fourth Proportional to 321,972.70, 482,959.06 and 111,610.66

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Solution

The fourth proportional to 321,972.70, 482,959.06 and 111,610.66 is: 167,415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,972.70 : 482,959.06 = 111,610.66 : x
  2. Step 2: Convert to fraction form
    321,972.70/482,959.06 = 111,610.66/x
  3. Step 3: Cross multiply
    321,972.70x = 482,959.06 × 111,610.66
  4. Step 4: Simplify right side
    321,972.70x = 53,903,379,439.58
  5. Step 5: Solve for x
    x = 53,903,379,439.58/321,972.70
  6. Step 6: Final answer
    x = 167,415.99

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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.