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Finding the Fourth Proportional to 102,597.34, 141,643.19 and 78,206.83

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Solution

The fourth proportional to 102,597.34, 141,643.19 and 78,206.83 is: 107,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,597.34 : 141,643.19 = 78,206.83 : x
  2. Step 2: Convert to fraction form
    102,597.34/141,643.19 = 78,206.83/x
  3. Step 3: Cross multiply
    102,597.34x = 141,643.19 × 78,206.83
  4. Step 4: Simplify right side
    102,597.34x = 11,077,464,880.99
  5. Step 5: Solve for x
    x = 11,077,464,880.99/102,597.34
  6. Step 6: Final answer
    x = 107,970.29

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