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Finding the Fourth Proportional to 106,867, 160,300.50 and 44,537.50

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Solution

The fourth proportional to 106,867, 160,300.50 and 44,537.50 is: 66,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,867 : 160,300.50 = 44,537.50 : x
  2. Step 2: Convert to fraction form
    106,867/160,300.50 = 44,537.50/x
  3. Step 3: Cross multiply
    106,867x = 160,300.50 × 44,537.50
  4. Step 4: Simplify right side
    106,867x = 7,139,383,518.75
  5. Step 5: Solve for x
    x = 7,139,383,518.75/106,867
  6. Step 6: Final answer
    x = 66,806.25

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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.