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Finding the Fourth Proportional to 277,090.48, 414,884.97 and 143,691

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Solution

The fourth proportional to 277,090.48, 414,884.97 and 143,691 is: 215,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,090.48 : 414,884.97 = 143,691 : x
  2. Step 2: Convert to fraction form
    277,090.48/414,884.97 = 143,691/x
  3. Step 3: Cross multiply
    277,090.48x = 414,884.97 × 143,691
  4. Step 4: Simplify right side
    277,090.48x = 59,615,236,224.27
  5. Step 5: Solve for x
    x = 59,615,236,224.27/277,090.48
  6. Step 6: Final answer
    x = 215,147.18

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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.