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Finding the Fourth Proportional to 306,029.70, 422,319.38 and 168,211.80

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Solution

The fourth proportional to 306,029.70, 422,319.38 and 168,211.80 is: 232,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,029.70 : 422,319.38 = 168,211.80 : x
  2. Step 2: Convert to fraction form
    306,029.70/422,319.38 = 168,211.80/x
  3. Step 3: Cross multiply
    306,029.70x = 422,319.38 × 168,211.80
  4. Step 4: Simplify right side
    306,029.70x = 71,039,102,243.63
  5. Step 5: Solve for x
    x = 71,039,102,243.63/306,029.70
  6. Step 6: Final answer
    x = 232,131.40

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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.