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Finding the Fourth Proportional to 183,112.87, 274,562.37 and 77,877.67

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Solution

The fourth proportional to 183,112.87, 274,562.37 and 77,877.67 is: 116,771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,112.87 : 274,562.37 = 77,877.67 : x
  2. Step 2: Convert to fraction form
    183,112.87/274,562.37 = 77,877.67/x
  3. Step 3: Cross multiply
    183,112.87x = 274,562.37 × 77,877.67
  4. Step 4: Simplify right side
    183,112.87x = 21,382,277,645.28
  5. Step 5: Solve for x
    x = 21,382,277,645.28/183,112.87
  6. Step 6: Final answer
    x = 116,771.03

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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.