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Finding the Fourth Proportional to 137,226.37, 189,380.73 and 76,795.76

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Solution

The fourth proportional to 137,226.37, 189,380.73 and 76,795.76 is: 105,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,226.37 : 189,380.73 = 76,795.76 : x
  2. Step 2: Convert to fraction form
    137,226.37/189,380.73 = 76,795.76/x
  3. Step 3: Cross multiply
    137,226.37x = 189,380.73 × 76,795.76
  4. Step 4: Simplify right side
    137,226.37x = 14,543,637,851.14
  5. Step 5: Solve for x
    x = 14,543,637,851.14/137,226.37
  6. Step 6: Final answer
    x = 105,982.82

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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.