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Finding the Fourth Proportional to 433,193.72, 649,833.97 and 148,846.80

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Solution

The fourth proportional to 433,193.72, 649,833.97 and 148,846.80 is: 223,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,193.72 : 649,833.97 = 148,846.80 : x
  2. Step 2: Convert to fraction form
    433,193.72/649,833.97 = 148,846.80/x
  3. Step 3: Cross multiply
    433,193.72x = 649,833.97 × 148,846.80
  4. Step 4: Simplify right side
    433,193.72x = 96,725,706,593.68
  5. Step 5: Solve for x
    x = 96,725,706,593.68/433,193.72
  6. Step 6: Final answer
    x = 223,285.11

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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.