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Finding the Fourth Proportional to 262,100.25, 361,698.75 and 148,944.87

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Solution

The fourth proportional to 262,100.25, 361,698.75 and 148,944.87 is: 205,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,100.25 : 361,698.75 = 148,944.87 : x
  2. Step 2: Convert to fraction form
    262,100.25/361,698.75 = 148,944.87/x
  3. Step 3: Cross multiply
    262,100.25x = 361,698.75 × 148,944.87
  4. Step 4: Simplify right side
    262,100.25x = 53,873,173,297.91
  5. Step 5: Solve for x
    x = 53,873,173,297.91/262,100.25
  6. Step 6: Final answer
    x = 205,544.15

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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.