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Finding the Fourth Proportional to 511,350.33, 767,025.09 and 137,373.33

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Solution

The fourth proportional to 511,350.33, 767,025.09 and 137,373.33 is: 206,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,350.33 : 767,025.09 = 137,373.33 : x
  2. Step 2: Convert to fraction form
    511,350.33/767,025.09 = 137,373.33/x
  3. Step 3: Cross multiply
    511,350.33x = 767,025.09 × 137,373.33
  4. Step 4: Simplify right side
    511,350.33x = 105,368,790,806.85
  5. Step 5: Solve for x
    x = 105,368,790,806.85/511,350.33
  6. Step 6: Final answer
    x = 206,059.89

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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.