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Finding the Fourth Proportional to 219,633.54, 329,074.32 and 119,863.81

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Solution

The fourth proportional to 219,633.54, 329,074.32 and 119,863.81 is: 179,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,633.54 : 329,074.32 = 119,863.81 : x
  2. Step 2: Convert to fraction form
    219,633.54/329,074.32 = 119,863.81/x
  3. Step 3: Cross multiply
    219,633.54x = 329,074.32 × 119,863.81
  4. Step 4: Simplify right side
    219,633.54x = 39,444,101,768.36
  5. Step 5: Solve for x
    x = 39,444,101,768.36/219,633.54
  6. Step 6: Final answer
    x = 179,590.52

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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.