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Finding the Fourth Proportional to 196,354.52, 294,534.75 and 74,781.79

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Solution

The fourth proportional to 196,354.52, 294,534.75 and 74,781.79 is: 112,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,354.52 : 294,534.75 = 74,781.79 : x
  2. Step 2: Convert to fraction form
    196,354.52/294,534.75 = 74,781.79/x
  3. Step 3: Cross multiply
    196,354.52x = 294,534.75 × 74,781.79
  4. Step 4: Simplify right side
    196,354.52x = 22,025,835,635.25
  5. Step 5: Solve for x
    x = 22,025,835,635.25/196,354.52
  6. Step 6: Final answer
    x = 112,173.81

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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.