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Finding the Fourth Proportional to 137,171.48, 189,294.95 and 76,741.92

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Solution

The fourth proportional to 137,171.48, 189,294.95 and 76,741.92 is: 105,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,171.48 : 189,294.95 = 76,741.92 : x
  2. Step 2: Convert to fraction form
    137,171.48/189,294.95 = 76,741.92/x
  3. Step 3: Cross multiply
    137,171.48x = 189,294.95 × 76,741.92
  4. Step 4: Simplify right side
    137,171.48x = 14,526,857,525.59
  5. Step 5: Solve for x
    x = 14,526,857,525.59/137,171.48
  6. Step 6: Final answer
    x = 105,902.90

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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.