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Finding the Fourth Proportional to 218,267.94, 327,576.87 and 113,116.98

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Solution

The fourth proportional to 218,267.94, 327,576.87 and 113,116.98 is: 169,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,267.94 : 327,576.87 = 113,116.98 : x
  2. Step 2: Convert to fraction form
    218,267.94/327,576.87 = 113,116.98/x
  3. Step 3: Cross multiply
    218,267.94x = 327,576.87 × 113,116.98
  4. Step 4: Simplify right side
    218,267.94x = 37,054,506,252.25
  5. Step 5: Solve for x
    x = 37,054,506,252.25/218,267.94
  6. Step 6: Final answer
    x = 169,766.14

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Why These Related Problems?

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