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Finding the Fourth Proportional to 166,489, 249,733.74 and 67,993

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Solution

The fourth proportional to 166,489, 249,733.74 and 67,993 is: 101,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,489 : 249,733.74 = 67,993 : x
  2. Step 2: Convert to fraction form
    166,489/249,733.74 = 67,993/x
  3. Step 3: Cross multiply
    166,489x = 249,733.74 × 67,993
  4. Step 4: Simplify right side
    166,489x = 16,980,146,183.82
  5. Step 5: Solve for x
    x = 16,980,146,183.82/166,489
  6. Step 6: Final answer
    x = 101,989.60

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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.