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Finding the Fourth Proportional to 243,396.96, 365,096.16 and 74,916

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Solution

The fourth proportional to 243,396.96, 365,096.16 and 74,916 is: 112,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,396.96 : 365,096.16 = 74,916 : x
  2. Step 2: Convert to fraction form
    243,396.96/365,096.16 = 74,916/x
  3. Step 3: Cross multiply
    243,396.96x = 365,096.16 × 74,916
  4. Step 4: Simplify right side
    243,396.96x = 27,351,543,922.56
  5. Step 5: Solve for x
    x = 27,351,543,922.56/243,396.96
  6. Step 6: Final answer
    x = 112,374.22

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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.