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Finding the Fourth Proportional to 285,734.54, 428,601.78 and 96,179.00

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Solution

The fourth proportional to 285,734.54, 428,601.78 and 96,179.00 is: 144,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,734.54 : 428,601.78 = 96,179.00 : x
  2. Step 2: Convert to fraction form
    285,734.54/428,601.78 = 96,179.00/x
  3. Step 3: Cross multiply
    285,734.54x = 428,601.78 × 96,179.00
  4. Step 4: Simplify right side
    285,734.54x = 41,222,488,455.61
  5. Step 5: Solve for x
    x = 41,222,488,455.61/285,734.54
  6. Step 6: Final answer
    x = 144,268.48

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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.