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Finding the Fourth Proportional to 196,230.40, 294,201.60 and 77,843.20

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Solution

The fourth proportional to 196,230.40, 294,201.60 and 77,843.20 is: 116,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,230.40 : 294,201.60 = 77,843.20 : x
  2. Step 2: Convert to fraction form
    196,230.40/294,201.60 = 77,843.20/x
  3. Step 3: Cross multiply
    196,230.40x = 294,201.60 × 77,843.20
  4. Step 4: Simplify right side
    196,230.40x = 22,901,593,989.12
  5. Step 5: Solve for x
    x = 22,901,593,989.12/196,230.40
  6. Step 6: Final answer
    x = 116,707.68

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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.