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Finding the Fourth Proportional to 137,638.06, 189,940.21 and 76,393.63

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Solution

The fourth proportional to 137,638.06, 189,940.21 and 76,393.63 is: 105,423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,638.06 : 189,940.21 = 76,393.63 : x
  2. Step 2: Convert to fraction form
    137,638.06/189,940.21 = 76,393.63/x
  3. Step 3: Cross multiply
    137,638.06x = 189,940.21 × 76,393.63
  4. Step 4: Simplify right side
    137,638.06x = 14,510,222,457.78
  5. Step 5: Solve for x
    x = 14,510,222,457.78/137,638.06
  6. Step 6: Final answer
    x = 105,423.04

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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.