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Finding the Fourth Proportional to 511,171.05, 766,756.46 and 137,194.05

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Solution

The fourth proportional to 511,171.05, 766,756.46 and 137,194.05 is: 205,791.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,171.05 : 766,756.46 = 137,194.05 : x
  2. Step 2: Convert to fraction form
    511,171.05/766,756.46 = 137,194.05/x
  3. Step 3: Cross multiply
    511,171.05x = 766,756.46 × 137,194.05
  4. Step 4: Simplify right side
    511,171.05x = 105,194,423,425.09
  5. Step 5: Solve for x
    x = 105,194,423,425.09/511,171.05
  6. Step 6: Final answer
    x = 205,791.04

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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.