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Finding the Fourth Proportional to 255,873.06, 383,645.34 and 106,216.65

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Solution

The fourth proportional to 255,873.06, 383,645.34 and 106,216.65 is: 159,256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,873.06 : 383,645.34 = 106,216.65 : x
  2. Step 2: Convert to fraction form
    255,873.06/383,645.34 = 106,216.65/x
  3. Step 3: Cross multiply
    255,873.06x = 383,645.34 × 106,216.65
  4. Step 4: Simplify right side
    255,873.06x = 40,749,522,802.91
  5. Step 5: Solve for x
    x = 40,749,522,802.91/255,873.06
  6. Step 6: Final answer
    x = 159,256.79

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