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Finding the Fourth Proportional to 270,753.72, 406,503.27 and 137,724

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Solution

The fourth proportional to 270,753.72, 406,503.27 and 137,724 is: 206,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,753.72 : 406,503.27 = 137,724 : x
  2. Step 2: Convert to fraction form
    270,753.72/406,503.27 = 137,724/x
  3. Step 3: Cross multiply
    270,753.72x = 406,503.27 × 137,724
  4. Step 4: Simplify right side
    270,753.72x = 55,985,256,357.48
  5. Step 5: Solve for x
    x = 55,985,256,357.48/270,753.72
  6. Step 6: Final answer
    x = 206,775.58

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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.