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Finding the Fourth Proportional to 262,770.90, 362,624.19 and 149,593.50

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Solution

The fourth proportional to 262,770.90, 362,624.19 and 149,593.50 is: 206,439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,770.90 : 362,624.19 = 149,593.50 : x
  2. Step 2: Convert to fraction form
    262,770.90/362,624.19 = 149,593.50/x
  3. Step 3: Cross multiply
    262,770.90x = 362,624.19 × 149,593.50
  4. Step 4: Simplify right side
    262,770.90x = 54,246,221,766.77
  5. Step 5: Solve for x
    x = 54,246,221,766.77/262,770.90
  6. Step 6: Final answer
    x = 206,439.23

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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.