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Finding the Fourth Proportional to 137,446.48, 189,671.55 and 76,190.10

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Solution

The fourth proportional to 137,446.48, 189,671.55 and 76,190.10 is: 105,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,446.48 : 189,671.55 = 76,190.10 : x
  2. Step 2: Convert to fraction form
    137,446.48/189,671.55 = 76,190.10/x
  3. Step 3: Cross multiply
    137,446.48x = 189,671.55 × 76,190.10
  4. Step 4: Simplify right side
    137,446.48x = 14,451,094,361.66
  5. Step 5: Solve for x
    x = 14,451,094,361.66/137,446.48
  6. Step 6: Final answer
    x = 105,139.79

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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.