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Finding the Fourth Proportional to 80,227.40, 120,307.98 and 30,299

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Solution

The fourth proportional to 80,227.40, 120,307.98 and 30,299 is: 45,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,227.40 : 120,307.98 = 30,299 : x
  2. Step 2: Convert to fraction form
    80,227.40/120,307.98 = 30,299/x
  3. Step 3: Cross multiply
    80,227.40x = 120,307.98 × 30,299
  4. Step 4: Simplify right side
    80,227.40x = 3,645,211,486.02
  5. Step 5: Solve for x
    x = 3,645,211,486.02/80,227.40
  6. Step 6: Final answer
    x = 45,435.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.