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Finding the Fourth Proportional to 106,914.36, 160,265.70 and 50,655

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Solution

The fourth proportional to 106,914.36, 160,265.70 and 50,655 is: 75,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,914.36 : 160,265.70 = 50,655 : x
  2. Step 2: Convert to fraction form
    106,914.36/160,265.70 = 50,655/x
  3. Step 3: Cross multiply
    106,914.36x = 160,265.70 × 50,655
  4. Step 4: Simplify right side
    106,914.36x = 8,118,259,033.50
  5. Step 5: Solve for x
    x = 8,118,259,033.50/106,914.36
  6. Step 6: Final answer
    x = 75,932.35

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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.