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Finding the Fourth Proportional to 196,202.40, 270,746 and 106,776.48

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Solution

The fourth proportional to 196,202.40, 270,746 and 106,776.48 is: 147,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,202.40 : 270,746 = 106,776.48 : x
  2. Step 2: Convert to fraction form
    196,202.40/270,746 = 106,776.48/x
  3. Step 3: Cross multiply
    196,202.40x = 270,746 × 106,776.48
  4. Step 4: Simplify right side
    196,202.40x = 28,909,304,854.08
  5. Step 5: Solve for x
    x = 28,909,304,854.08/196,202.40
  6. Step 6: Final answer
    x = 147,344.30

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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.