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Finding the Fourth Proportional to 106,348.38, 146,813.91 and 82,421.34

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Solution

The fourth proportional to 106,348.38, 146,813.91 and 82,421.34 is: 113,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,348.38 : 146,813.91 = 82,421.34 : x
  2. Step 2: Convert to fraction form
    106,348.38/146,813.91 = 82,421.34/x
  3. Step 3: Cross multiply
    106,348.38x = 146,813.91 × 82,421.34
  4. Step 4: Simplify right side
    106,348.38x = 12,100,599,192.84
  5. Step 5: Solve for x
    x = 12,100,599,192.84/106,348.38
  6. Step 6: Final answer
    x = 113,782.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.