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Finding the Fourth Proportional to 102,296.52, 153,345.60 and 52,400.16

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Solution

The fourth proportional to 102,296.52, 153,345.60 and 52,400.16 is: 78,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,296.52 : 153,345.60 = 52,400.16 : x
  2. Step 2: Convert to fraction form
    102,296.52/153,345.60 = 52,400.16/x
  3. Step 3: Cross multiply
    102,296.52x = 153,345.60 × 52,400.16
  4. Step 4: Simplify right side
    102,296.52x = 8,035,333,975.30
  5. Step 5: Solve for x
    x = 8,035,333,975.30/102,296.52
  6. Step 6: Final answer
    x = 78,549.44

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