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Finding the Fourth Proportional to 106,859.21, 160,344.01 and 46,929.77

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Solution

The fourth proportional to 106,859.21, 160,344.01 and 46,929.77 is: 70,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,859.21 : 160,344.01 = 46,929.77 : x
  2. Step 2: Convert to fraction form
    106,859.21/160,344.01 = 46,929.77/x
  3. Step 3: Cross multiply
    106,859.21x = 160,344.01 × 46,929.77
  4. Step 4: Simplify right side
    106,859.21x = 7,524,907,893.62
  5. Step 5: Solve for x
    x = 7,524,907,893.62/106,859.21
  6. Step 6: Final answer
    x = 70,418.90

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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.