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Finding the Fourth Proportional to 116,241, 174,361.50 and 28,689

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Solution

The fourth proportional to 116,241, 174,361.50 and 28,689 is: 43,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,241 : 174,361.50 = 28,689 : x
  2. Step 2: Convert to fraction form
    116,241/174,361.50 = 28,689/x
  3. Step 3: Cross multiply
    116,241x = 174,361.50 × 28,689
  4. Step 4: Simplify right side
    116,241x = 5,002,257,073.50
  5. Step 5: Solve for x
    x = 5,002,257,073.50/116,241
  6. Step 6: Final answer
    x = 43,033.50

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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.