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Finding the Fourth Proportional to 137,182.46, 189,319.14 and 76,749.50

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Solution

The fourth proportional to 137,182.46, 189,319.14 and 76,749.50 is: 105,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,182.46 : 189,319.14 = 76,749.50 : x
  2. Step 2: Convert to fraction form
    137,182.46/189,319.14 = 76,749.50/x
  3. Step 3: Cross multiply
    137,182.46x = 189,319.14 × 76,749.50
  4. Step 4: Simplify right side
    137,182.46x = 14,530,148,388.83
  5. Step 5: Solve for x
    x = 14,530,148,388.83/137,182.46
  6. Step 6: Final answer
    x = 105,918.42

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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.