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Finding the Fourth Proportional to 196,630.63, 294,486.67 and 180,753.01

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Solution

The fourth proportional to 196,630.63, 294,486.67 and 180,753.01 is: 270,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,630.63 : 294,486.67 = 180,753.01 : x
  2. Step 2: Convert to fraction form
    196,630.63/294,486.67 = 180,753.01/x
  3. Step 3: Cross multiply
    196,630.63x = 294,486.67 × 180,753.01
  4. Step 4: Simplify right side
    196,630.63x = 53,229,352,007.38
  5. Step 5: Solve for x
    x = 53,229,352,007.38/196,630.63
  6. Step 6: Final answer
    x = 270,707.33

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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.