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Finding the Fourth Proportional to 432,651.25, 648,976.88 and 137,163.25

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Solution

The fourth proportional to 432,651.25, 648,976.88 and 137,163.25 is: 205,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,651.25 : 648,976.88 = 137,163.25 : x
  2. Step 2: Convert to fraction form
    432,651.25/648,976.88 = 137,163.25/x
  3. Step 3: Cross multiply
    432,651.25x = 648,976.88 × 137,163.25
  4. Step 4: Simplify right side
    432,651.25x = 89,015,778,035.66
  5. Step 5: Solve for x
    x = 89,015,778,035.66/432,651.25
  6. Step 6: Final answer
    x = 205,744.88

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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.