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Finding the Fourth Proportional to 213,302.75, 320,006.75 and 63,542.46

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Solution

The fourth proportional to 213,302.75, 320,006.75 and 63,542.46 is: 95,329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,302.75 : 320,006.75 = 63,542.46 : x
  2. Step 2: Convert to fraction form
    213,302.75/320,006.75 = 63,542.46/x
  3. Step 3: Cross multiply
    213,302.75x = 320,006.75 × 63,542.46
  4. Step 4: Simplify right side
    213,302.75x = 20,334,015,311.59
  5. Step 5: Solve for x
    x = 20,334,015,311.59/213,302.75
  6. Step 6: Final answer
    x = 95,329.36

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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.