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Finding the Fourth Proportional to 109,409.60, 164,065.80 and 42,827.60

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Solution

The fourth proportional to 109,409.60, 164,065.80 and 42,827.60 is: 64,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,409.60 : 164,065.80 = 42,827.60 : x
  2. Step 2: Convert to fraction form
    109,409.60/164,065.80 = 42,827.60/x
  3. Step 3: Cross multiply
    109,409.60x = 164,065.80 × 42,827.60
  4. Step 4: Simplify right side
    109,409.60x = 7,026,544,456.08
  5. Step 5: Solve for x
    x = 7,026,544,456.08/109,409.60
  6. Step 6: Final answer
    x = 64,222.38

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