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Finding the Fourth Proportional to 136,989.66, 189,022.64 and 76,560.80

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Solution

The fourth proportional to 136,989.66, 189,022.64 and 76,560.80 is: 105,640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,989.66 : 189,022.64 = 76,560.80 : x
  2. Step 2: Convert to fraction form
    136,989.66/189,022.64 = 76,560.80/x
  3. Step 3: Cross multiply
    136,989.66x = 189,022.64 × 76,560.80
  4. Step 4: Simplify right side
    136,989.66x = 14,471,723,423.92
  5. Step 5: Solve for x
    x = 14,471,723,423.92/136,989.66
  6. Step 6: Final answer
    x = 105,640.99

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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.