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Finding the Fourth Proportional to 270,045.99, 405,323.22 and 137,021.71

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Solution

The fourth proportional to 270,045.99, 405,323.22 and 137,021.71 is: 205,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,045.99 : 405,323.22 = 137,021.71 : x
  2. Step 2: Convert to fraction form
    270,045.99/405,323.22 = 137,021.71/x
  3. Step 3: Cross multiply
    270,045.99x = 405,323.22 × 137,021.71
  4. Step 4: Simplify right side
    270,045.99x = 55,538,080,707.11
  5. Step 5: Solve for x
    x = 55,538,080,707.11/270,045.99
  6. Step 6: Final answer
    x = 205,661.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.