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Finding the Fourth Proportional to 288,846.73, 433,163.89 and 99,253.27

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Solution

The fourth proportional to 288,846.73, 433,163.89 and 99,253.27 is: 148,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,846.73 : 433,163.89 = 99,253.27 : x
  2. Step 2: Convert to fraction form
    288,846.73/433,163.89 = 99,253.27/x
  3. Step 3: Cross multiply
    288,846.73x = 433,163.89 × 99,253.27
  4. Step 4: Simplify right side
    288,846.73x = 42,992,931,197.38
  5. Step 5: Solve for x
    x = 42,992,931,197.38/288,846.73
  6. Step 6: Final answer
    x = 148,843.41

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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.