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Finding the Fourth Proportional to 198,150.75, 297,163.73 and 65,000.07

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Solution

The fourth proportional to 198,150.75, 297,163.73 and 65,000.07 is: 97,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,150.75 : 297,163.73 = 65,000.07 : x
  2. Step 2: Convert to fraction form
    198,150.75/297,163.73 = 65,000.07/x
  3. Step 3: Cross multiply
    198,150.75x = 297,163.73 × 65,000.07
  4. Step 4: Simplify right side
    198,150.75x = 19,315,662,926.46
  5. Step 5: Solve for x
    x = 19,315,662,926.46/198,150.75
  6. Step 6: Final answer
    x = 97,479.64

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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.