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Finding the Fourth Proportional to 262,652.50, 393,347.17 and 149,991.26

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Solution

The fourth proportional to 262,652.50, 393,347.17 and 149,991.26 is: 224,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,652.50 : 393,347.17 = 149,991.26 : x
  2. Step 2: Convert to fraction form
    262,652.50/393,347.17 = 149,991.26/x
  3. Step 3: Cross multiply
    262,652.50x = 393,347.17 × 149,991.26
  4. Step 4: Simplify right side
    262,652.50x = 58,998,637,645.73
  5. Step 5: Solve for x
    x = 58,998,637,645.73/262,652.50
  6. Step 6: Final answer
    x = 224,626.22

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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.