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Finding the Fourth Proportional to 200,384.44, 300,596.74 and 74,057.90

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Solution

The fourth proportional to 200,384.44, 300,596.74 and 74,057.90 is: 111,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,384.44 : 300,596.74 = 74,057.90 : x
  2. Step 2: Convert to fraction form
    200,384.44/300,596.74 = 74,057.90/x
  3. Step 3: Cross multiply
    200,384.44x = 300,596.74 × 74,057.90
  4. Step 4: Simplify right side
    200,384.44x = 22,261,563,311.25
  5. Step 5: Solve for x
    x = 22,261,563,311.25/200,384.44
  6. Step 6: Final answer
    x = 111,094.27

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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.