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Finding the Fourth Proportional to 321,384.95, 482,084.26 and 108,159.33

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Solution

The fourth proportional to 321,384.95, 482,084.26 and 108,159.33 is: 162,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,384.95 : 482,084.26 = 108,159.33 : x
  2. Step 2: Convert to fraction form
    321,384.95/482,084.26 = 108,159.33/x
  3. Step 3: Cross multiply
    321,384.95x = 482,084.26 × 108,159.33
  4. Step 4: Simplify right side
    321,384.95x = 52,141,912,102.56
  5. Step 5: Solve for x
    x = 52,141,912,102.56/321,384.95
  6. Step 6: Final answer
    x = 162,241.30

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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.