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Finding the Fourth Proportional to 270,769.72, 405,866.58 and 102,218.44

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Solution

The fourth proportional to 270,769.72, 405,866.58 and 102,218.44 is: 153,218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,769.72 : 405,866.58 = 102,218.44 : x
  2. Step 2: Convert to fraction form
    270,769.72/405,866.58 = 102,218.44/x
  3. Step 3: Cross multiply
    270,769.72x = 405,866.58 × 102,218.44
  4. Step 4: Simplify right side
    270,769.72x = 41,487,048,655.74
  5. Step 5: Solve for x
    x = 41,487,048,655.74/270,769.72
  6. Step 6: Final answer
    x = 153,218.94

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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.