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Finding the Fourth Proportional to 270,926.26, 406,651.84 and 130,783.30

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Solution

The fourth proportional to 270,926.26, 406,651.84 and 130,783.30 is: 196,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,926.26 : 406,651.84 = 130,783.30 : x
  2. Step 2: Convert to fraction form
    270,926.26/406,651.84 = 130,783.30/x
  3. Step 3: Cross multiply
    270,926.26x = 406,651.84 × 130,783.30
  4. Step 4: Simplify right side
    270,926.26x = 53,183,268,242.68
  5. Step 5: Solve for x
    x = 53,183,268,242.68/270,926.26
  6. Step 6: Final answer
    x = 196,301.64

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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.