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Finding the Fourth Proportional to 303,893.20, 455,839.80 and 204,101.20

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Solution

The fourth proportional to 303,893.20, 455,839.80 and 204,101.20 is: 306,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,893.20 : 455,839.80 = 204,101.20 : x
  2. Step 2: Convert to fraction form
    303,893.20/455,839.80 = 204,101.20/x
  3. Step 3: Cross multiply
    303,893.20x = 455,839.80 × 204,101.20
  4. Step 4: Simplify right side
    303,893.20x = 93,037,450,187.76
  5. Step 5: Solve for x
    x = 93,037,450,187.76/303,893.20
  6. Step 6: Final answer
    x = 306,151.80

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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.