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Finding the Fourth Proportional to 189,706.24, 261,791.38 and 103,663.31

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Solution

The fourth proportional to 189,706.24, 261,791.38 and 103,663.31 is: 143,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,706.24 : 261,791.38 = 103,663.31 : x
  2. Step 2: Convert to fraction form
    189,706.24/261,791.38 = 103,663.31/x
  3. Step 3: Cross multiply
    189,706.24x = 261,791.38 × 103,663.31
  4. Step 4: Simplify right side
    189,706.24x = 27,138,160,980.27
  5. Step 5: Solve for x
    x = 27,138,160,980.27/189,706.24
  6. Step 6: Final answer
    x = 143,053.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.