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Finding the Fourth Proportional to 270,717.60, 406,076.40 and 137,857.35

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Solution

The fourth proportional to 270,717.60, 406,076.40 and 137,857.35 is: 206,786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,717.60 : 406,076.40 = 137,857.35 : x
  2. Step 2: Convert to fraction form
    270,717.60/406,076.40 = 137,857.35/x
  3. Step 3: Cross multiply
    270,717.60x = 406,076.40 × 137,857.35
  4. Step 4: Simplify right side
    270,717.60x = 55,980,616,401.54
  5. Step 5: Solve for x
    x = 55,980,616,401.54/270,717.60
  6. Step 6: Final answer
    x = 206,786.03

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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.