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Finding the Fourth Proportional to 299,376.86, 449,137.04 and 99,698.98

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Solution

The fourth proportional to 299,376.86, 449,137.04 and 99,698.98 is: 149,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,376.86 : 449,137.04 = 99,698.98 : x
  2. Step 2: Convert to fraction form
    299,376.86/449,137.04 = 99,698.98/x
  3. Step 3: Cross multiply
    299,376.86x = 449,137.04 × 99,698.98
  4. Step 4: Simplify right side
    299,376.86x = 44,778,504,768.22
  5. Step 5: Solve for x
    x = 44,778,504,768.22/299,376.86
  6. Step 6: Final answer
    x = 149,572.36

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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.