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Finding the Fourth Proportional to 102,154.84, 140,974.97 and 56,219.77

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Solution

The fourth proportional to 102,154.84, 140,974.97 and 56,219.77 is: 77,583.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,154.84 : 140,974.97 = 56,219.77 : x
  2. Step 2: Convert to fraction form
    102,154.84/140,974.97 = 56,219.77/x
  3. Step 3: Cross multiply
    102,154.84x = 140,974.97 × 56,219.77
  4. Step 4: Simplify right side
    102,154.84x = 7,925,580,177.27
  5. Step 5: Solve for x
    x = 7,925,580,177.27/102,154.84
  6. Step 6: Final answer
    x = 77,583.99

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