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Finding the Fourth Proportional to 151,380, 227,065.68 and 46,183.68

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Solution

The fourth proportional to 151,380, 227,065.68 and 46,183.68 is: 69,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,380 : 227,065.68 = 46,183.68 : x
  2. Step 2: Convert to fraction form
    151,380/227,065.68 = 46,183.68/x
  3. Step 3: Cross multiply
    151,380x = 227,065.68 × 46,183.68
  4. Step 4: Simplify right side
    151,380x = 10,486,728,704.10
  5. Step 5: Solve for x
    x = 10,486,728,704.10/151,380
  6. Step 6: Final answer
    x = 69,274.20

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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.