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Finding the Fourth Proportional to 259,711.75, 358,424.10 and 146,556.37

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Solution

The fourth proportional to 259,711.75, 358,424.10 and 146,556.37 is: 202,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,711.75 : 358,424.10 = 146,556.37 : x
  2. Step 2: Convert to fraction form
    259,711.75/358,424.10 = 146,556.37/x
  3. Step 3: Cross multiply
    259,711.75x = 358,424.10 × 146,556.37
  4. Step 4: Simplify right side
    259,711.75x = 52,529,335,016.52
  5. Step 5: Solve for x
    x = 52,529,335,016.52/259,711.75
  6. Step 6: Final answer
    x = 202,260.14

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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.