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Finding the Fourth Proportional to 310,183.20, 465,020.52 and 110,389.82

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Solution

The fourth proportional to 310,183.20, 465,020.52 and 110,389.82 is: 165,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,183.20 : 465,020.52 = 110,389.82 : x
  2. Step 2: Convert to fraction form
    310,183.20/465,020.52 = 110,389.82/x
  3. Step 3: Cross multiply
    310,183.20x = 465,020.52 × 110,389.82
  4. Step 4: Simplify right side
    310,183.20x = 51,333,529,174.00
  5. Step 5: Solve for x
    x = 51,333,529,174.00/310,183.20
  6. Step 6: Final answer
    x = 165,494.23

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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.