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Finding the Fourth Proportional to 294,863.95, 442,183.68 and 105,289.01

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Solution

The fourth proportional to 294,863.95, 442,183.68 and 105,289.01 is: 157,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,863.95 : 442,183.68 = 105,289.01 : x
  2. Step 2: Convert to fraction form
    294,863.95/442,183.68 = 105,289.01/x
  3. Step 3: Cross multiply
    294,863.95x = 442,183.68 × 105,289.01
  4. Step 4: Simplify right side
    294,863.95x = 46,557,084,136.04
  5. Step 5: Solve for x
    x = 46,557,084,136.04/294,863.95
  6. Step 6: Final answer
    x = 157,893.44

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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.