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Finding the Fourth Proportional to 105,214.08, 157,880.94 and 38,645.64

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Solution

The fourth proportional to 105,214.08, 157,880.94 and 38,645.64 is: 57,990.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,214.08 : 157,880.94 = 38,645.64 : x
  2. Step 2: Convert to fraction form
    105,214.08/157,880.94 = 38,645.64/x
  3. Step 3: Cross multiply
    105,214.08x = 157,880.94 × 38,645.64
  4. Step 4: Simplify right side
    105,214.08x = 6,101,409,970.10
  5. Step 5: Solve for x
    x = 6,101,409,970.10/105,214.08
  6. Step 6: Final answer
    x = 57,990.43

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