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Finding the Fourth Proportional to 137,444.92, 189,669.40 and 76,188.53

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Solution

The fourth proportional to 137,444.92, 189,669.40 and 76,188.53 is: 105,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,444.92 : 189,669.40 = 76,188.53 : x
  2. Step 2: Convert to fraction form
    137,444.92/189,669.40 = 76,188.53/x
  3. Step 3: Cross multiply
    137,444.92x = 189,669.40 × 76,188.53
  4. Step 4: Simplify right side
    137,444.92x = 14,450,633,055.68
  5. Step 5: Solve for x
    x = 14,450,633,055.68/137,444.92
  6. Step 6: Final answer
    x = 105,137.63

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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.