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Finding the Fourth Proportional to 200,889.10, 301,344.59 and 60,644.08

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Solution

The fourth proportional to 200,889.10, 301,344.59 and 60,644.08 is: 90,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,889.10 : 301,344.59 = 60,644.08 : x
  2. Step 2: Convert to fraction form
    200,889.10/301,344.59 = 60,644.08/x
  3. Step 3: Cross multiply
    200,889.10x = 301,344.59 × 60,644.08
  4. Step 4: Simplify right side
    200,889.10x = 18,274,765,120.31
  5. Step 5: Solve for x
    x = 18,274,765,120.31/200,889.10
  6. Step 6: Final answer
    x = 90,969.42

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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.