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Finding the Fourth Proportional to 299,755.37, 449,703.72 and 97,350.80

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Solution

The fourth proportional to 299,755.37, 449,703.72 and 97,350.80 is: 146,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,755.37 : 449,703.72 = 97,350.80 : x
  2. Step 2: Convert to fraction form
    299,755.37/449,703.72 = 97,350.80/x
  3. Step 3: Cross multiply
    299,755.37x = 449,703.72 × 97,350.80
  4. Step 4: Simplify right side
    299,755.37x = 43,779,014,656.46
  5. Step 5: Solve for x
    x = 43,779,014,656.46/299,755.37
  6. Step 6: Final answer
    x = 146,049.14

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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.