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Finding the Fourth Proportional to 111,098.73, 166,537.29 and 71,683.50

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Solution

The fourth proportional to 111,098.73, 166,537.29 and 71,683.50 is: 107,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,098.73 : 166,537.29 = 71,683.50 : x
  2. Step 2: Convert to fraction form
    111,098.73/166,537.29 = 71,683.50/x
  3. Step 3: Cross multiply
    111,098.73x = 166,537.29 × 71,683.50
  4. Step 4: Simplify right side
    111,098.73x = 11,937,975,827.72
  5. Step 5: Solve for x
    x = 11,937,975,827.72/111,098.73
  6. Step 6: Final answer
    x = 107,453.76

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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.