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Finding the Fourth Proportional to 270,048.65, 405,327.22 and 137,024.37

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Solution

The fourth proportional to 270,048.65, 405,327.22 and 137,024.37 is: 205,665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,048.65 : 405,327.22 = 137,024.37 : x
  2. Step 2: Convert to fraction form
    270,048.65/405,327.22 = 137,024.37/x
  3. Step 3: Cross multiply
    270,048.65x = 405,327.22 × 137,024.37
  4. Step 4: Simplify right side
    270,048.65x = 55,539,706,621.79
  5. Step 5: Solve for x
    x = 55,539,706,621.79/270,048.65
  6. Step 6: Final answer
    x = 205,665.56

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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.