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Finding the Fourth Proportional to 116,682.46, 175,198.68 and 66,818.86

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Solution

The fourth proportional to 116,682.46, 175,198.68 and 66,818.86 is: 100,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,682.46 : 175,198.68 = 66,818.86 : x
  2. Step 2: Convert to fraction form
    116,682.46/175,198.68 = 66,818.86/x
  3. Step 3: Cross multiply
    116,682.46x = 175,198.68 × 66,818.86
  4. Step 4: Simplify right side
    116,682.46x = 11,706,576,071.10
  5. Step 5: Solve for x
    x = 11,706,576,071.10/116,682.46
  6. Step 6: Final answer
    x = 100,328.50

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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.