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Finding the Fourth Proportional to 280,705.86, 421,085.37 and 78,315.42

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Solution

The fourth proportional to 280,705.86, 421,085.37 and 78,315.42 is: 117,480.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,705.86 : 421,085.37 = 78,315.42 : x
  2. Step 2: Convert to fraction form
    280,705.86/421,085.37 = 78,315.42/x
  3. Step 3: Cross multiply
    280,705.86x = 421,085.37 × 78,315.42
  4. Step 4: Simplify right side
    280,705.86x = 32,977,477,607.41
  5. Step 5: Solve for x
    x = 32,977,477,607.41/280,705.86
  6. Step 6: Final answer
    x = 117,480.55

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