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Finding the Fourth Proportional to 209,978.34, 314,967.74 and 52,206.81

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Solution

The fourth proportional to 209,978.34, 314,967.74 and 52,206.81 is: 78,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,978.34 : 314,967.74 = 52,206.81 : x
  2. Step 2: Convert to fraction form
    209,978.34/314,967.74 = 52,206.81/x
  3. Step 3: Cross multiply
    209,978.34x = 314,967.74 × 52,206.81
  4. Step 4: Simplify right side
    209,978.34x = 16,443,460,958.31
  5. Step 5: Solve for x
    x = 16,443,460,958.31/209,978.34
  6. Step 6: Final answer
    x = 78,310.27

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