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Finding the Fourth Proportional to 256,006.14, 383,792.31 and 106,152.90

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Solution

The fourth proportional to 256,006.14, 383,792.31 and 106,152.90 is: 159,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,006.14 : 383,792.31 = 106,152.90 : x
  2. Step 2: Convert to fraction form
    256,006.14/383,792.31 = 106,152.90/x
  3. Step 3: Cross multiply
    256,006.14x = 383,792.31 × 106,152.90
  4. Step 4: Simplify right side
    256,006.14x = 40,740,666,704.20
  5. Step 5: Solve for x
    x = 40,740,666,704.20/256,006.14
  6. Step 6: Final answer
    x = 159,139.41

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