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Finding the Fourth Proportional to 183,093.84, 274,756.32 and 77,912.64

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Solution

The fourth proportional to 183,093.84, 274,756.32 and 77,912.64 is: 116,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,093.84 : 274,756.32 = 77,912.64 : x
  2. Step 2: Convert to fraction form
    183,093.84/274,756.32 = 77,912.64/x
  3. Step 3: Cross multiply
    183,093.84x = 274,756.32 × 77,912.64
  4. Step 4: Simplify right side
    183,093.84x = 21,406,990,247.88
  5. Step 5: Solve for x
    x = 21,406,990,247.88/183,093.84
  6. Step 6: Final answer
    x = 116,918.13

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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.