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Finding the Fourth Proportional to 197,359.80, 294,163.57 and 186,150.22

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Solution

The fourth proportional to 197,359.80, 294,163.57 and 186,150.22 is: 277,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,359.80 : 294,163.57 = 186,150.22 : x
  2. Step 2: Convert to fraction form
    197,359.80/294,163.57 = 186,150.22/x
  3. Step 3: Cross multiply
    197,359.80x = 294,163.57 × 186,150.22
  4. Step 4: Simplify right side
    197,359.80x = 54,758,613,271.49
  5. Step 5: Solve for x
    x = 54,758,613,271.49/197,359.80
  6. Step 6: Final answer
    x = 277,455.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.