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Finding the Fourth Proportional to 196,651.81, 294,708.57 and 148,580.92

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Solution

The fourth proportional to 196,651.81, 294,708.57 and 148,580.92 is: 222,668.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,651.81 : 294,708.57 = 148,580.92 : x
  2. Step 2: Convert to fraction form
    196,651.81/294,708.57 = 148,580.92/x
  3. Step 3: Cross multiply
    196,651.81x = 294,708.57 × 148,580.92
  4. Step 4: Simplify right side
    196,651.81x = 43,788,070,462.48
  5. Step 5: Solve for x
    x = 43,788,070,462.48/196,651.81
  6. Step 6: Final answer
    x = 222,668.03

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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.