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Finding the Fourth Proportional to 102,865.23, 154,296.77 and 78,057.65

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Solution

The fourth proportional to 102,865.23, 154,296.77 and 78,057.65 is: 117,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,865.23 : 154,296.77 = 78,057.65 : x
  2. Step 2: Convert to fraction form
    102,865.23/154,296.77 = 78,057.65/x
  3. Step 3: Cross multiply
    102,865.23x = 154,296.77 × 78,057.65
  4. Step 4: Simplify right side
    102,865.23x = 12,044,043,264.24
  5. Step 5: Solve for x
    x = 12,044,043,264.24/102,865.23
  6. Step 6: Final answer
    x = 117,085.66

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