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Finding the Fourth Proportional to 270,756.72, 406,507.78 and 137,727

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Solution

The fourth proportional to 270,756.72, 406,507.78 and 137,727 is: 206,780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,756.72 : 406,507.78 = 137,727 : x
  2. Step 2: Convert to fraction form
    270,756.72/406,507.78 = 137,727/x
  3. Step 3: Cross multiply
    270,756.72x = 406,507.78 × 137,727
  4. Step 4: Simplify right side
    270,756.72x = 55,987,097,016.06
  5. Step 5: Solve for x
    x = 55,987,097,016.06/270,756.72
  6. Step 6: Final answer
    x = 206,780.08

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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.