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Finding the Fourth Proportional to 137,212.74, 189,326.39 and 76,771.65

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Solution

The fourth proportional to 137,212.74, 189,326.39 and 76,771.65 is: 105,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,212.74 : 189,326.39 = 76,771.65 : x
  2. Step 2: Convert to fraction form
    137,212.74/189,326.39 = 76,771.65/x
  3. Step 3: Cross multiply
    137,212.74x = 189,326.39 × 76,771.65
  4. Step 4: Simplify right side
    137,212.74x = 14,534,899,674.96
  5. Step 5: Solve for x
    x = 14,534,899,674.96/137,212.74
  6. Step 6: Final answer
    x = 105,929.67

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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.