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Finding the Fourth Proportional to 105,792.21, 158,714.57 and 52,509.20

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Solution

The fourth proportional to 105,792.21, 158,714.57 and 52,509.20 is: 78,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,792.21 : 158,714.57 = 52,509.20 : x
  2. Step 2: Convert to fraction form
    105,792.21/158,714.57 = 52,509.20/x
  3. Step 3: Cross multiply
    105,792.21x = 158,714.57 × 52,509.20
  4. Step 4: Simplify right side
    105,792.21x = 8,333,975,099.04
  5. Step 5: Solve for x
    x = 8,333,975,099.04/105,792.21
  6. Step 6: Final answer
    x = 78,776.83

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