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Finding the Fourth Proportional to 105,978.24, 146,213.80 and 65,677.30

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Solution

The fourth proportional to 105,978.24, 146,213.80 and 65,677.30 is: 90,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,978.24 : 146,213.80 = 65,677.30 : x
  2. Step 2: Convert to fraction form
    105,978.24/146,213.80 = 65,677.30/x
  3. Step 3: Cross multiply
    105,978.24x = 146,213.80 × 65,677.30
  4. Step 4: Simplify right side
    105,978.24x = 9,602,927,077.01
  5. Step 5: Solve for x
    x = 9,602,927,077.01/105,978.24
  6. Step 6: Final answer
    x = 90,612.25

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