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Finding the Fourth Proportional to 213,662.85, 320,529.91 and 95,329.74

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Solution

The fourth proportional to 213,662.85, 320,529.91 and 95,329.74 is: 143,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,662.85 : 320,529.91 = 95,329.74 : x
  2. Step 2: Convert to fraction form
    213,662.85/320,529.91 = 95,329.74/x
  3. Step 3: Cross multiply
    213,662.85x = 320,529.91 × 95,329.74
  4. Step 4: Simplify right side
    213,662.85x = 30,556,032,982.52
  5. Step 5: Solve for x
    x = 30,556,032,982.52/213,662.85
  6. Step 6: Final answer
    x = 143,010.51

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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.