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Finding the Fourth Proportional to 212,930.40, 319,190.80 and 165,519.20

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Solution

The fourth proportional to 212,930.40, 319,190.80 and 165,519.20 is: 248,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,930.40 : 319,190.80 = 165,519.20 : x
  2. Step 2: Convert to fraction form
    212,930.40/319,190.80 = 165,519.20/x
  3. Step 3: Cross multiply
    212,930.40x = 319,190.80 × 165,519.20
  4. Step 4: Simplify right side
    212,930.40x = 52,832,205,863.36
  5. Step 5: Solve for x
    x = 52,832,205,863.36/212,930.40
  6. Step 6: Final answer
    x = 248,119.60

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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.