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Finding the Fourth Proportional to 208,142.84, 311,915.36 and 102,838.80

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Solution

The fourth proportional to 208,142.84, 311,915.36 and 102,838.80 is: 154,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,142.84 : 311,915.36 = 102,838.80 : x
  2. Step 2: Convert to fraction form
    208,142.84/311,915.36 = 102,838.80/x
  3. Step 3: Cross multiply
    208,142.84x = 311,915.36 × 102,838.80
  4. Step 4: Simplify right side
    208,142.84x = 32,077,001,323.97
  5. Step 5: Solve for x
    x = 32,077,001,323.97/208,142.84
  6. Step 6: Final answer
    x = 154,110.52

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