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Finding the Fourth Proportional to 137,493.48, 189,737.76 and 76,239.39

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Solution

The fourth proportional to 137,493.48, 189,737.76 and 76,239.39 is: 105,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,493.48 : 189,737.76 = 76,239.39 : x
  2. Step 2: Convert to fraction form
    137,493.48/189,737.76 = 76,239.39/x
  3. Step 3: Cross multiply
    137,493.48x = 189,737.76 × 76,239.39
  4. Step 4: Simplify right side
    137,493.48x = 14,465,491,082.37
  5. Step 5: Solve for x
    x = 14,465,491,082.37/137,493.48
  6. Step 6: Final answer
    x = 105,208.56

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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.