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Finding the Fourth Proportional to 137,133.69, 189,260.19 and 76,719.65

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Solution

The fourth proportional to 137,133.69, 189,260.19 and 76,719.65 is: 105,881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,133.69 : 189,260.19 = 76,719.65 : x
  2. Step 2: Convert to fraction form
    137,133.69/189,260.19 = 76,719.65/x
  3. Step 3: Cross multiply
    137,133.69x = 189,260.19 × 76,719.65
  4. Step 4: Simplify right side
    137,133.69x = 14,519,974,589.43
  5. Step 5: Solve for x
    x = 14,519,974,589.43/137,133.69
  6. Step 6: Final answer
    x = 105,881.89

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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.