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Finding the Fourth Proportional to 214,914.64, 296,585.16 and 119,419.60

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Solution

The fourth proportional to 214,914.64, 296,585.16 and 119,419.60 is: 164,800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,914.64 : 296,585.16 = 119,419.60 : x
  2. Step 2: Convert to fraction form
    214,914.64/296,585.16 = 119,419.60/x
  3. Step 3: Cross multiply
    214,914.64x = 296,585.16 × 119,419.60
  4. Step 4: Simplify right side
    214,914.64x = 35,418,081,173.14
  5. Step 5: Solve for x
    x = 35,418,081,173.14/214,914.64
  6. Step 6: Final answer
    x = 164,800.69

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