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Finding the Fourth Proportional to 227,421.27, 341,131.90 and 127,651.54

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Solution

The fourth proportional to 227,421.27, 341,131.90 and 127,651.54 is: 191,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,421.27 : 341,131.90 = 127,651.54 : x
  2. Step 2: Convert to fraction form
    227,421.27/341,131.90 = 127,651.54/x
  3. Step 3: Cross multiply
    227,421.27x = 341,131.90 × 127,651.54
  4. Step 4: Simplify right side
    227,421.27x = 43,546,011,739.87
  5. Step 5: Solve for x
    x = 43,546,011,739.87/227,421.27
  6. Step 6: Final answer
    x = 191,477.31

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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.