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Finding the Fourth Proportional to 227,309.09, 340,977.29 and 69,538.91

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Solution

The fourth proportional to 227,309.09, 340,977.29 and 69,538.91 is: 104,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,309.09 : 340,977.29 = 69,538.91 : x
  2. Step 2: Convert to fraction form
    227,309.09/340,977.29 = 69,538.91/x
  3. Step 3: Cross multiply
    227,309.09x = 340,977.29 × 69,538.91
  4. Step 4: Simplify right side
    227,309.09x = 23,711,187,028.77
  5. Step 5: Solve for x
    x = 23,711,187,028.77/227,309.09
  6. Step 6: Final answer
    x = 104,312.54

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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.