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Finding the Fourth Proportional to 196,040, 270,539.52 and 106,616

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Solution

The fourth proportional to 196,040, 270,539.52 and 106,616 is: 147,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,040 : 270,539.52 = 106,616 : x
  2. Step 2: Convert to fraction form
    196,040/270,539.52 = 106,616/x
  3. Step 3: Cross multiply
    196,040x = 270,539.52 × 106,616
  4. Step 4: Simplify right side
    196,040x = 28,843,841,464.32
  5. Step 5: Solve for x
    x = 28,843,841,464.32/196,040
  6. Step 6: Final answer
    x = 147,132.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.