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Finding the Fourth Proportional to 200,418.14, 300,599.34 and 50,649.20

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Solution

The fourth proportional to 200,418.14, 300,599.34 and 50,649.20 is: 75,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,418.14 : 300,599.34 = 50,649.20 : x
  2. Step 2: Convert to fraction form
    200,418.14/300,599.34 = 50,649.20/x
  3. Step 3: Cross multiply
    200,418.14x = 300,599.34 × 50,649.20
  4. Step 4: Simplify right side
    200,418.14x = 15,225,114,588.53
  5. Step 5: Solve for x
    x = 15,225,114,588.53/200,418.14
  6. Step 6: Final answer
    x = 75,966.75

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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.