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Finding the Fourth Proportional to 196,809.40, 295,214.10 and 72,134.20

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Solution

The fourth proportional to 196,809.40, 295,214.10 and 72,134.20 is: 108,201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,809.40 : 295,214.10 = 72,134.20 : x
  2. Step 2: Convert to fraction form
    196,809.40/295,214.10 = 72,134.20/x
  3. Step 3: Cross multiply
    196,809.40x = 295,214.10 × 72,134.20
  4. Step 4: Simplify right side
    196,809.40x = 21,295,032,932.22
  5. Step 5: Solve for x
    x = 21,295,032,932.22/196,809.40
  6. Step 6: Final answer
    x = 108,201.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.