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Finding the Fourth Proportional to 243,912.96, 365,905.89 and 75,448.35

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Solution

The fourth proportional to 243,912.96, 365,905.89 and 75,448.35 is: 113,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,912.96 : 365,905.89 = 75,448.35 : x
  2. Step 2: Convert to fraction form
    243,912.96/365,905.89 = 75,448.35/x
  3. Step 3: Cross multiply
    243,912.96x = 365,905.89 × 75,448.35
  4. Step 4: Simplify right side
    243,912.96x = 27,606,995,655.78
  5. Step 5: Solve for x
    x = 27,606,995,655.78/243,912.96
  6. Step 6: Final answer
    x = 113,183.80

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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.