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Finding the Fourth Proportional to 194,417.44, 268,296.06 and 104,993.44

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Solution

The fourth proportional to 194,417.44, 268,296.06 and 104,993.44 is: 144,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,417.44 : 268,296.06 = 104,993.44 : x
  2. Step 2: Convert to fraction form
    194,417.44/268,296.06 = 104,993.44/x
  3. Step 3: Cross multiply
    194,417.44x = 268,296.06 × 104,993.44
  4. Step 4: Simplify right side
    194,417.44x = 28,169,326,277.85
  5. Step 5: Solve for x
    x = 28,169,326,277.85/194,417.44
  6. Step 6: Final answer
    x = 144,890.94

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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.