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Finding the Fourth Proportional to 262,933, 362,847.54 and 149,821.36

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Solution

The fourth proportional to 262,933, 362,847.54 and 149,821.36 is: 206,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,933 : 362,847.54 = 149,821.36 : x
  2. Step 2: Convert to fraction form
    262,933/362,847.54 = 149,821.36/x
  3. Step 3: Cross multiply
    262,933x = 362,847.54 × 149,821.36
  4. Step 4: Simplify right side
    262,933x = 54,362,311,915.45
  5. Step 5: Solve for x
    x = 54,362,311,915.45/262,933
  6. Step 6: Final answer
    x = 206,753.48

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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.