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Finding the Fourth Proportional to 511,351.83, 767,027.34 and 137,374.83

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Solution

The fourth proportional to 511,351.83, 767,027.34 and 137,374.83 is: 206,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,351.83 : 767,027.34 = 137,374.83 : x
  2. Step 2: Convert to fraction form
    511,351.83/767,027.34 = 137,374.83/x
  3. Step 3: Cross multiply
    511,351.83x = 767,027.34 × 137,374.83
  4. Step 4: Simplify right side
    511,351.83x = 105,370,250,437.85
  5. Step 5: Solve for x
    x = 105,370,250,437.85/511,351.83
  6. Step 6: Final answer
    x = 206,062.14

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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.