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Finding the Fourth Proportional to 365,472, 548,301.43 and 140,772.13

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Solution

The fourth proportional to 365,472, 548,301.43 and 140,772.13 is: 211,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,472 : 548,301.43 = 140,772.13 : x
  2. Step 2: Convert to fraction form
    365,472/548,301.43 = 140,772.13/x
  3. Step 3: Cross multiply
    365,472x = 548,301.43 × 140,772.13
  4. Step 4: Simplify right side
    365,472x = 77,185,560,183.15
  5. Step 5: Solve for x
    x = 77,185,560,183.15/365,472
  6. Step 6: Final answer
    x = 211,194.18

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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.