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Finding the Fourth Proportional to 137,039.56, 189,123.42 and 76,610.44

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Solution

The fourth proportional to 137,039.56, 189,123.42 and 76,610.44 is: 105,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,039.56 : 189,123.42 = 76,610.44 : x
  2. Step 2: Convert to fraction form
    137,039.56/189,123.42 = 76,610.44/x
  3. Step 3: Cross multiply
    137,039.56x = 189,123.42 × 76,610.44
  4. Step 4: Simplify right side
    137,039.56x = 14,488,828,420.50
  5. Step 5: Solve for x
    x = 14,488,828,420.50/137,039.56
  6. Step 6: Final answer
    x = 105,727.34

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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.