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Finding the Fourth Proportional to 119,190.11, 164,474.23 and 65,477.39

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Solution

The fourth proportional to 119,190.11, 164,474.23 and 65,477.39 is: 90,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,190.11 : 164,474.23 = 65,477.39 : x
  2. Step 2: Convert to fraction form
    119,190.11/164,474.23 = 65,477.39/x
  3. Step 3: Cross multiply
    119,190.11x = 164,474.23 × 65,477.39
  4. Step 4: Simplify right side
    119,190.11x = 10,769,342,975.27
  5. Step 5: Solve for x
    x = 10,769,342,975.27/119,190.11
  6. Step 6: Final answer
    x = 90,354.33

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Why These Related Problems?

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