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Finding the Fourth Proportional to 102,564.30, 153,846.45 and 86,817.90

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Solution

The fourth proportional to 102,564.30, 153,846.45 and 86,817.90 is: 130,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,564.30 : 153,846.45 = 86,817.90 : x
  2. Step 2: Convert to fraction form
    102,564.30/153,846.45 = 86,817.90/x
  3. Step 3: Cross multiply
    102,564.30x = 153,846.45 × 86,817.90
  4. Step 4: Simplify right side
    102,564.30x = 13,356,625,711.46
  5. Step 5: Solve for x
    x = 13,356,625,711.46/102,564.30
  6. Step 6: Final answer
    x = 130,226.85

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