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Finding the Fourth Proportional to 259,698.94, 358,390.57 and 162,906.87

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Solution

The fourth proportional to 259,698.94, 358,390.57 and 162,906.87 is: 224,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,698.94 : 358,390.57 = 162,906.87 : x
  2. Step 2: Convert to fraction form
    259,698.94/358,390.57 = 162,906.87/x
  3. Step 3: Cross multiply
    259,698.94x = 358,390.57 × 162,906.87
  4. Step 4: Simplify right side
    259,698.94x = 58,384,288,145.41
  5. Step 5: Solve for x
    x = 58,384,288,145.41/259,698.94
  6. Step 6: Final answer
    x = 224,815.27

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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.