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Finding the Fourth Proportional to 164,648.46, 246,943.97 and 46,291.67

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Solution

The fourth proportional to 164,648.46, 246,943.97 and 46,291.67 is: 69,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,648.46 : 246,943.97 = 46,291.67 : x
  2. Step 2: Convert to fraction form
    164,648.46/246,943.97 = 46,291.67/x
  3. Step 3: Cross multiply
    164,648.46x = 246,943.97 × 46,291.67
  4. Step 4: Simplify right side
    164,648.46x = 11,431,448,767.73
  5. Step 5: Solve for x
    x = 11,431,448,767.73/164,648.46
  6. Step 6: Final answer
    x = 69,429.43

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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.