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Finding the Fourth Proportional to 511,183.01, 766,774.70 and 137,206.01

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Solution

The fourth proportional to 511,183.01, 766,774.70 and 137,206.01 is: 205,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,183.01 : 766,774.70 = 137,206.01 : x
  2. Step 2: Convert to fraction form
    511,183.01/766,774.70 = 137,206.01/x
  3. Step 3: Cross multiply
    511,183.01x = 766,774.70 × 137,206.01
  4. Step 4: Simplify right side
    511,183.01x = 105,206,096,469.92
  5. Step 5: Solve for x
    x = 105,206,096,469.92/511,183.01
  6. Step 6: Final answer
    x = 205,809.06

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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.