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Finding the Fourth Proportional to 102,415.92, 153,360.36 and 82,330.80

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Solution

The fourth proportional to 102,415.92, 153,360.36 and 82,330.80 is: 123,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,415.92 : 153,360.36 = 82,330.80 : x
  2. Step 2: Convert to fraction form
    102,415.92/153,360.36 = 82,330.80/x
  3. Step 3: Cross multiply
    102,415.92x = 153,360.36 × 82,330.80
  4. Step 4: Simplify right side
    102,415.92x = 12,626,281,127.09
  5. Step 5: Solve for x
    x = 12,626,281,127.09/102,415.92
  6. Step 6: Final answer
    x = 123,284.36

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