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Finding the Fourth Proportional to 100,420.75, 138,580.64 and 55,708.75

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Solution

The fourth proportional to 100,420.75, 138,580.64 and 55,708.75 is: 76,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,420.75 : 138,580.64 = 55,708.75 : x
  2. Step 2: Convert to fraction form
    100,420.75/138,580.64 = 55,708.75/x
  3. Step 3: Cross multiply
    100,420.75x = 138,580.64 × 55,708.75
  4. Step 4: Simplify right side
    100,420.75x = 7,720,154,228.60
  5. Step 5: Solve for x
    x = 7,720,154,228.60/100,420.75
  6. Step 6: Final answer
    x = 76,878.08

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