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Finding the Fourth Proportional to 195,666, 270,019.08 and 106,242

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Solution

The fourth proportional to 195,666, 270,019.08 and 106,242 is: 146,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,666 : 270,019.08 = 106,242 : x
  2. Step 2: Convert to fraction form
    195,666/270,019.08 = 106,242/x
  3. Step 3: Cross multiply
    195,666x = 270,019.08 × 106,242
  4. Step 4: Simplify right side
    195,666x = 28,687,367,097.36
  5. Step 5: Solve for x
    x = 28,687,367,097.36/195,666
  6. Step 6: Final answer
    x = 146,613.96

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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.