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Finding the Fourth Proportional to 300,206.55, 450,270.95 and 113,193.75

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Solution

The fourth proportional to 300,206.55, 450,270.95 and 113,193.75 is: 169,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,206.55 : 450,270.95 = 113,193.75 : x
  2. Step 2: Convert to fraction form
    300,206.55/450,270.95 = 113,193.75/x
  3. Step 3: Cross multiply
    300,206.55x = 450,270.95 × 113,193.75
  4. Step 4: Simplify right side
    300,206.55x = 50,967,856,780.59
  5. Step 5: Solve for x
    x = 50,967,856,780.59/300,206.55
  6. Step 6: Final answer
    x = 169,775.97

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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.