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Finding the Fourth Proportional to 137,415.32, 189,590.10 and 76,977.80

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Solution

The fourth proportional to 137,415.32, 189,590.10 and 76,977.80 is: 106,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,415.32 : 189,590.10 = 76,977.80 : x
  2. Step 2: Convert to fraction form
    137,415.32/189,590.10 = 76,977.80/x
  3. Step 3: Cross multiply
    137,415.32x = 189,590.10 × 76,977.80
  4. Step 4: Simplify right side
    137,415.32x = 14,594,228,799.78
  5. Step 5: Solve for x
    x = 14,594,228,799.78/137,415.32
  6. Step 6: Final answer
    x = 106,205.25

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