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Finding the Fourth Proportional to 299,533.48, 449,149.98 and 99,783.64

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Solution

The fourth proportional to 299,533.48, 449,149.98 and 99,783.64 is: 149,625.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,533.48 : 449,149.98 = 99,783.64 : x
  2. Step 2: Convert to fraction form
    299,533.48/449,149.98 = 99,783.64/x
  3. Step 3: Cross multiply
    299,533.48x = 449,149.98 × 99,783.64
  4. Step 4: Simplify right side
    299,533.48x = 44,817,819,910.33
  5. Step 5: Solve for x
    x = 44,817,819,910.33/299,533.48
  6. Step 6: Final answer
    x = 149,625.41

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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.