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Finding the Fourth Proportional to 213,039.62, 293,993.54 and 116,243.44

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Solution

The fourth proportional to 213,039.62, 293,993.54 and 116,243.44 is: 160,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,039.62 : 293,993.54 = 116,243.44 : x
  2. Step 2: Convert to fraction form
    213,039.62/293,993.54 = 116,243.44/x
  3. Step 3: Cross multiply
    213,039.62x = 293,993.54 × 116,243.44
  4. Step 4: Simplify right side
    213,039.62x = 34,174,820,427.38
  5. Step 5: Solve for x
    x = 34,174,820,427.38/213,039.62
  6. Step 6: Final answer
    x = 160,415.33

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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.