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Finding the Fourth Proportional to 220,940.88, 304,898.76 and 120,339.28

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Solution

The fourth proportional to 220,940.88, 304,898.76 and 120,339.28 is: 166,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,940.88 : 304,898.76 = 120,339.28 : x
  2. Step 2: Convert to fraction form
    220,940.88/304,898.76 = 120,339.28/x
  3. Step 3: Cross multiply
    220,940.88x = 304,898.76 × 120,339.28
  4. Step 4: Simplify right side
    220,940.88x = 36,691,297,251.29
  5. Step 5: Solve for x
    x = 36,691,297,251.29/220,940.88
  6. Step 6: Final answer
    x = 166,068.39

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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.