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Finding the Fourth Proportional to 160,940.44, 221,996.76 and 103,654

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Solution

The fourth proportional to 160,940.44, 221,996.76 and 103,654 is: 142,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,940.44 : 221,996.76 = 103,654 : x
  2. Step 2: Convert to fraction form
    160,940.44/221,996.76 = 103,654/x
  3. Step 3: Cross multiply
    160,940.44x = 221,996.76 × 103,654
  4. Step 4: Simplify right side
    160,940.44x = 23,010,852,161.04
  5. Step 5: Solve for x
    x = 23,010,852,161.04/160,940.44
  6. Step 6: Final answer
    x = 142,977.44

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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.