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Finding the Fourth Proportional to 217,043.46, 325,498.23 and 76,769.82

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Solution

The fourth proportional to 217,043.46, 325,498.23 and 76,769.82 is: 115,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,043.46 : 325,498.23 = 76,769.82 : x
  2. Step 2: Convert to fraction form
    217,043.46/325,498.23 = 76,769.82/x
  3. Step 3: Cross multiply
    217,043.46x = 325,498.23 × 76,769.82
  4. Step 4: Simplify right side
    217,043.46x = 24,988,440,527.42
  5. Step 5: Solve for x
    x = 24,988,440,527.42/217,043.46
  6. Step 6: Final answer
    x = 115,131.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.