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Finding the Fourth Proportional to 275,281.60, 412,922.40 and 181,106.95

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Solution

The fourth proportional to 275,281.60, 412,922.40 and 181,106.95 is: 271,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,281.60 : 412,922.40 = 181,106.95 : x
  2. Step 2: Convert to fraction form
    275,281.60/412,922.40 = 181,106.95/x
  3. Step 3: Cross multiply
    275,281.60x = 412,922.40 × 181,106.95
  4. Step 4: Simplify right side
    275,281.60x = 74,783,116,450.68
  5. Step 5: Solve for x
    x = 74,783,116,450.68/275,281.60
  6. Step 6: Final answer
    x = 271,660.43

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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.