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Finding the Fourth Proportional to 200,343.42, 300,563.73 and 60,102.05

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Solution

The fourth proportional to 200,343.42, 300,563.73 and 60,102.05 is: 90,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,343.42 : 300,563.73 = 60,102.05 : x
  2. Step 2: Convert to fraction form
    200,343.42/300,563.73 = 60,102.05/x
  3. Step 3: Cross multiply
    200,343.42x = 300,563.73 × 60,102.05
  4. Step 4: Simplify right side
    200,343.42x = 18,064,494,825.83
  5. Step 5: Solve for x
    x = 18,064,494,825.83/200,343.42
  6. Step 6: Final answer
    x = 90,167.65

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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.