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Finding the Fourth Proportional to 137,416, 189,634.10 and 77,800

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Solution

The fourth proportional to 137,416, 189,634.10 and 77,800 is: 107,364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,416 : 189,634.10 = 77,800 : x
  2. Step 2: Convert to fraction form
    137,416/189,634.10 = 77,800/x
  3. Step 3: Cross multiply
    137,416x = 189,634.10 × 77,800
  4. Step 4: Simplify right side
    137,416x = 14,753,532,980
  5. Step 5: Solve for x
    x = 14,753,532,980/137,416
  6. Step 6: Final answer
    x = 107,364.01

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