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Finding the Fourth Proportional to 137,601.48, 189,889.31 and 76,347.11

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Solution

The fourth proportional to 137,601.48, 189,889.31 and 76,347.11 is: 105,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,601.48 : 189,889.31 = 76,347.11 : x
  2. Step 2: Convert to fraction form
    137,601.48/189,889.31 = 76,347.11/x
  3. Step 3: Cross multiply
    137,601.48x = 189,889.31 × 76,347.11
  4. Step 4: Simplify right side
    137,601.48x = 14,497,499,635.86
  5. Step 5: Solve for x
    x = 14,497,499,635.86/137,601.48
  6. Step 6: Final answer
    x = 105,358.60

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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.