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Finding the Fourth Proportional to 220,940.48, 304,898.40 and 120,339.20

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Solution

The fourth proportional to 220,940.48, 304,898.40 and 120,339.20 is: 166,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,940.48 : 304,898.40 = 120,339.20 : x
  2. Step 2: Convert to fraction form
    220,940.48/304,898.40 = 120,339.20/x
  3. Step 3: Cross multiply
    220,940.48x = 304,898.40 × 120,339.20
  4. Step 4: Simplify right side
    220,940.48x = 36,691,229,537.28
  5. Step 5: Solve for x
    x = 36,691,229,537.28/220,940.48
  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.