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Finding the Fourth Proportional to 200,869.80, 301,499.10 and 122,137.80

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Solution

The fourth proportional to 200,869.80, 301,499.10 and 122,137.80 is: 183,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,869.80 : 301,499.10 = 122,137.80 : x
  2. Step 2: Convert to fraction form
    200,869.80/301,499.10 = 122,137.80/x
  3. Step 3: Cross multiply
    200,869.80x = 301,499.10 × 122,137.80
  4. Step 4: Simplify right side
    200,869.80x = 36,824,436,775.98
  5. Step 5: Solve for x
    x = 36,824,436,775.98/200,869.80
  6. Step 6: Final answer
    x = 183,324.90

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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.