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Finding the Fourth Proportional to 119,804.05, 165,382.73 and 77,383.27

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Solution

The fourth proportional to 119,804.05, 165,382.73 and 77,383.27 is: 106,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,804.05 : 165,382.73 = 77,383.27 : x
  2. Step 2: Convert to fraction form
    119,804.05/165,382.73 = 77,383.27/x
  3. Step 3: Cross multiply
    119,804.05x = 165,382.73 × 77,383.27
  4. Step 4: Simplify right side
    119,804.05x = 12,797,856,448.93
  5. Step 5: Solve for x
    x = 12,797,856,448.93/119,804.05
  6. Step 6: Final answer
    x = 106,823.24

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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.