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Finding the Fourth Proportional to 183,183.68, 274,308.96 and 89,444

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Solution

The fourth proportional to 183,183.68, 274,308.96 and 89,444 is: 133,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,183.68 : 274,308.96 = 89,444 : x
  2. Step 2: Convert to fraction form
    183,183.68/274,308.96 = 89,444/x
  3. Step 3: Cross multiply
    183,183.68x = 274,308.96 × 89,444
  4. Step 4: Simplify right side
    183,183.68x = 24,535,290,618.24
  5. Step 5: Solve for x
    x = 24,535,290,618.24/183,183.68
  6. Step 6: Final answer
    x = 133,938.19

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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.