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Finding the Fourth Proportional to 167,742, 251,613 and 43,083

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Solution

The fourth proportional to 167,742, 251,613 and 43,083 is: 64,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,742 : 251,613 = 43,083 : x
  2. Step 2: Convert to fraction form
    167,742/251,613 = 43,083/x
  3. Step 3: Cross multiply
    167,742x = 251,613 × 43,083
  4. Step 4: Simplify right side
    167,742x = 10,840,242,879
  5. Step 5: Solve for x
    x = 10,840,242,879/167,742
  6. Step 6: Final answer
    x = 64,624.50

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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.