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Finding the Fourth Proportional to 137,253.20, 189,400.62 and 76,813.64

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Solution

The fourth proportional to 137,253.20, 189,400.62 and 76,813.64 is: 105,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,253.20 : 189,400.62 = 76,813.64 : x
  2. Step 2: Convert to fraction form
    137,253.20/189,400.62 = 76,813.64/x
  3. Step 3: Cross multiply
    137,253.20x = 189,400.62 × 76,813.64
  4. Step 4: Simplify right side
    137,253.20x = 14,548,550,093.45
  5. Step 5: Solve for x
    x = 14,548,550,093.45/137,253.20
  6. Step 6: Final answer
    x = 105,997.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.