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Finding the Fourth Proportional to 102,023.40, 153,035.10 and 77,140.20

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Solution

The fourth proportional to 102,023.40, 153,035.10 and 77,140.20 is: 115,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,023.40 : 153,035.10 = 77,140.20 : x
  2. Step 2: Convert to fraction form
    102,023.40/153,035.10 = 77,140.20/x
  3. Step 3: Cross multiply
    102,023.40x = 153,035.10 × 77,140.20
  4. Step 4: Simplify right side
    102,023.40x = 11,805,158,221.02
  5. Step 5: Solve for x
    x = 11,805,158,221.02/102,023.40
  6. Step 6: Final answer
    x = 115,710.30

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