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Finding the Fourth Proportional to 137,120.61, 189,226.86 and 76,692.27

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Solution

The fourth proportional to 137,120.61, 189,226.86 and 76,692.27 is: 105,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,120.61 : 189,226.86 = 76,692.27 : x
  2. Step 2: Convert to fraction form
    137,120.61/189,226.86 = 76,692.27/x
  3. Step 3: Cross multiply
    137,120.61x = 189,226.86 × 76,692.27
  4. Step 4: Simplify right side
    137,120.61x = 14,512,237,438.37
  5. Step 5: Solve for x
    x = 14,512,237,438.37/137,120.61
  6. Step 6: Final answer
    x = 105,835.57

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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.