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Finding the Fourth Proportional to 196,195.77, 270,745.07 and 114,539.67

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Solution

The fourth proportional to 196,195.77, 270,745.07 and 114,539.67 is: 158,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,195.77 : 270,745.07 = 114,539.67 : x
  2. Step 2: Convert to fraction form
    196,195.77/270,745.07 = 114,539.67/x
  3. Step 3: Cross multiply
    196,195.77x = 270,745.07 × 114,539.67
  4. Step 4: Simplify right side
    196,195.77x = 31,011,050,399.23
  5. Step 5: Solve for x
    x = 31,011,050,399.23/196,195.77
  6. Step 6: Final answer
    x = 158,061.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.