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Finding the Fourth Proportional to 98,805.70, 148,099.81 and 48,811.78

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Solution

The fourth proportional to 98,805.70, 148,099.81 and 48,811.78 is: 73,163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,805.70 : 148,099.81 = 48,811.78 : x
  2. Step 2: Convert to fraction form
    98,805.70/148,099.81 = 48,811.78/x
  3. Step 3: Cross multiply
    98,805.70x = 148,099.81 × 48,811.78
  4. Step 4: Simplify right side
    98,805.70x = 7,229,015,343.76
  5. Step 5: Solve for x
    x = 7,229,015,343.76/98,805.70
  6. Step 6: Final answer
    x = 73,163.95

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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.