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Finding the Fourth Proportional to 270,191.48, 405,295.47 and 92,696.00

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Solution

The fourth proportional to 270,191.48, 405,295.47 and 92,696.00 is: 139,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,191.48 : 405,295.47 = 92,696.00 : x
  2. Step 2: Convert to fraction form
    270,191.48/405,295.47 = 92,696.00/x
  3. Step 3: Cross multiply
    270,191.48x = 405,295.47 × 92,696.00
  4. Step 4: Simplify right side
    270,191.48x = 37,569,266,860.64
  5. Step 5: Solve for x
    x = 37,569,266,860.64/270,191.48
  6. Step 6: Final answer
    x = 139,046.83

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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.