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Finding the Fourth Proportional to 259,367.03, 357,929.22 and 146,189.78

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Solution

The fourth proportional to 259,367.03, 357,929.22 and 146,189.78 is: 201,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,367.03 : 357,929.22 = 146,189.78 : x
  2. Step 2: Convert to fraction form
    259,367.03/357,929.22 = 146,189.78/x
  3. Step 3: Cross multiply
    259,367.03x = 357,929.22 × 146,189.78
  4. Step 4: Simplify right side
    259,367.03x = 52,325,592,137.73
  5. Step 5: Solve for x
    x = 52,325,592,137.73/259,367.03
  6. Step 6: Final answer
    x = 201,743.43

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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.