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Finding the Fourth Proportional to 213,919.82, 295,240.23 and 123,258.41

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Solution

The fourth proportional to 213,919.82, 295,240.23 and 123,258.41 is: 170,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,919.82 : 295,240.23 = 123,258.41 : x
  2. Step 2: Convert to fraction form
    213,919.82/295,240.23 = 123,258.41/x
  3. Step 3: Cross multiply
    213,919.82x = 295,240.23 × 123,258.41
  4. Step 4: Simplify right side
    213,919.82x = 36,390,839,841.63
  5. Step 5: Solve for x
    x = 36,390,839,841.63/213,919.82
  6. Step 6: Final answer
    x = 170,114.39

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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.