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Finding the Fourth Proportional to 221,072.40, 331,657.20 and 71,287.20

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Solution

The fourth proportional to 221,072.40, 331,657.20 and 71,287.20 is: 106,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,072.40 : 331,657.20 = 71,287.20 : x
  2. Step 2: Convert to fraction form
    221,072.40/331,657.20 = 71,287.20/x
  3. Step 3: Cross multiply
    221,072.40x = 331,657.20 × 71,287.20
  4. Step 4: Simplify right side
    221,072.40x = 23,642,913,147.84
  5. Step 5: Solve for x
    x = 23,642,913,147.84/221,072.40
  6. Step 6: Final answer
    x = 106,946.47

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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.