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Finding the Fourth Proportional to 245,497.10, 338,704.54 and 200,097

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Solution

The fourth proportional to 245,497.10, 338,704.54 and 200,097 is: 276,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,497.10 : 338,704.54 = 200,097 : x
  2. Step 2: Convert to fraction form
    245,497.10/338,704.54 = 200,097/x
  3. Step 3: Cross multiply
    245,497.10x = 338,704.54 × 200,097
  4. Step 4: Simplify right side
    245,497.10x = 67,773,761,840.14
  5. Step 5: Solve for x
    x = 67,773,761,840.14/245,497.10
  6. Step 6: Final answer
    x = 276,067.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.