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Finding the Fourth Proportional to 102,114.32, 140,906.96 and 56,784.98

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Solution

The fourth proportional to 102,114.32, 140,906.96 and 56,784.98 is: 78,357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,114.32 : 140,906.96 = 56,784.98 : x
  2. Step 2: Convert to fraction form
    102,114.32/140,906.96 = 56,784.98/x
  3. Step 3: Cross multiply
    102,114.32x = 140,906.96 × 56,784.98
  4. Step 4: Simplify right side
    102,114.32x = 8,001,398,342.89
  5. Step 5: Solve for x
    x = 8,001,398,342.89/102,114.32
  6. Step 6: Final answer
    x = 78,357.26

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