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Finding the Fourth Proportional to 213,379.38, 294,464.16 and 116,584.38

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Solution

The fourth proportional to 213,379.38, 294,464.16 and 116,584.38 is: 160,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,379.38 : 294,464.16 = 116,584.38 : x
  2. Step 2: Convert to fraction form
    213,379.38/294,464.16 = 116,584.38/x
  3. Step 3: Cross multiply
    213,379.38x = 294,464.16 × 116,584.38
  4. Step 4: Simplify right side
    213,379.38x = 34,329,921,525.82
  5. Step 5: Solve for x
    x = 34,329,921,525.82/213,379.38
  6. Step 6: Final answer
    x = 160,886.78

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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.