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Finding the Fourth Proportional to 213,715.14, 320,616.45 and 73,455.54

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Solution

The fourth proportional to 213,715.14, 320,616.45 and 73,455.54 is: 110,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,715.14 : 320,616.45 = 73,455.54 : x
  2. Step 2: Convert to fraction form
    213,715.14/320,616.45 = 73,455.54/x
  3. Step 3: Cross multiply
    213,715.14x = 320,616.45 × 73,455.54
  4. Step 4: Simplify right side
    213,715.14x = 23,551,054,467.63
  5. Step 5: Solve for x
    x = 23,551,054,467.63/213,715.14
  6. Step 6: Final answer
    x = 110,198.34

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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.