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Finding the Fourth Proportional to 137,164.20, 189,304.02 and 76,738.20

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Solution

The fourth proportional to 137,164.20, 189,304.02 and 76,738.20 is: 105,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,164.20 : 189,304.02 = 76,738.20 : x
  2. Step 2: Convert to fraction form
    137,164.20/189,304.02 = 76,738.20/x
  3. Step 3: Cross multiply
    137,164.20x = 189,304.02 × 76,738.20
  4. Step 4: Simplify right side
    137,164.20x = 14,526,849,747.56
  5. Step 5: Solve for x
    x = 14,526,849,747.56/137,164.20
  6. Step 6: Final answer
    x = 105,908.46

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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.