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Finding the Fourth Proportional to 137,096.88, 189,192.56 and 76,667.60

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Solution

The fourth proportional to 137,096.88, 189,192.56 and 76,667.60 is: 105,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,096.88 : 189,192.56 = 76,667.60 : x
  2. Step 2: Convert to fraction form
    137,096.88/189,192.56 = 76,667.60/x
  3. Step 3: Cross multiply
    137,096.88x = 189,192.56 × 76,667.60
  4. Step 4: Simplify right side
    137,096.88x = 14,504,939,513.06
  5. Step 5: Solve for x
    x = 14,504,939,513.06/137,096.88
  6. Step 6: Final answer
    x = 105,800.65

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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.