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Finding the Fourth Proportional to 259,367.78, 357,930.26 and 146,190.53

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Solution

The fourth proportional to 259,367.78, 357,930.26 and 146,190.53 is: 201,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,367.78 : 357,930.26 = 146,190.53 : x
  2. Step 2: Convert to fraction form
    259,367.78/357,930.26 = 146,190.53/x
  3. Step 3: Cross multiply
    259,367.78x = 357,930.26 × 146,190.53
  4. Step 4: Simplify right side
    259,367.78x = 52,326,011,891.83
  5. Step 5: Solve for x
    x = 52,326,011,891.83/259,367.78
  6. Step 6: Final answer
    x = 201,744.46

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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.