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Finding the Fourth Proportional to 270,731.95, 405,896.64 and 164,089.73

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Solution

The fourth proportional to 270,731.95, 405,896.64 and 164,089.73 is: 246,012.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,731.95 : 405,896.64 = 164,089.73 : x
  2. Step 2: Convert to fraction form
    270,731.95/405,896.64 = 164,089.73/x
  3. Step 3: Cross multiply
    270,731.95x = 405,896.64 × 164,089.73
  4. Step 4: Simplify right side
    270,731.95x = 66,603,470,065.51
  5. Step 5: Solve for x
    x = 66,603,470,065.51/270,731.95
  6. Step 6: Final answer
    x = 246,012.60

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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.