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Finding the Fourth Proportional to 153,723, 212,137.74 and 83,067

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Solution

The fourth proportional to 153,723, 212,137.74 and 83,067 is: 114,632.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,723 : 212,137.74 = 83,067 : x
  2. Step 2: Convert to fraction form
    153,723/212,137.74 = 83,067/x
  3. Step 3: Cross multiply
    153,723x = 212,137.74 × 83,067
  4. Step 4: Simplify right side
    153,723x = 17,621,645,648.58
  5. Step 5: Solve for x
    x = 17,621,645,648.58/153,723
  6. Step 6: Final answer
    x = 114,632.46

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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.