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Finding the Fourth Proportional to 259,902.44, 358,662.54 and 146,729.96

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Solution

The fourth proportional to 259,902.44, 358,662.54 and 146,729.96 is: 202,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,902.44 : 358,662.54 = 146,729.96 : x
  2. Step 2: Convert to fraction form
    259,902.44/358,662.54 = 146,729.96/x
  3. Step 3: Cross multiply
    259,902.44x = 358,662.54 × 146,729.96
  4. Step 4: Simplify right side
    259,902.44x = 52,626,540,147.70
  5. Step 5: Solve for x
    x = 52,626,540,147.70/259,902.44
  6. Step 6: Final answer
    x = 202,485.75

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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.