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Finding the Fourth Proportional to 270,497.25, 405,772.91 and 92,980.89

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Solution

The fourth proportional to 270,497.25, 405,772.91 and 92,980.89 is: 139,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,497.25 : 405,772.91 = 92,980.89 : x
  2. Step 2: Convert to fraction form
    270,497.25/405,772.91 = 92,980.89/x
  3. Step 3: Cross multiply
    270,497.25x = 405,772.91 × 92,980.89
  4. Step 4: Simplify right side
    270,497.25x = 37,729,126,309.69
  5. Step 5: Solve for x
    x = 37,729,126,309.69/270,497.25
  6. Step 6: Final answer
    x = 139,480.63

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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.