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Finding the Fourth Proportional to 200,682.85, 301,024.28 and 60,441.48

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Solution

The fourth proportional to 200,682.85, 301,024.28 and 60,441.48 is: 90,662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,682.85 : 301,024.28 = 60,441.48 : x
  2. Step 2: Convert to fraction form
    200,682.85/301,024.28 = 60,441.48/x
  3. Step 3: Cross multiply
    200,682.85x = 301,024.28 × 60,441.48
  4. Step 4: Simplify right side
    200,682.85x = 18,194,352,999.13
  5. Step 5: Solve for x
    x = 18,194,352,999.13/200,682.85
  6. Step 6: Final answer
    x = 90,662.22

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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.