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Finding the Fourth Proportional to 166,586.92, 249,854.46 and 55,753

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Solution

The fourth proportional to 166,586.92, 249,854.46 and 55,753 is: 83,620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,586.92 : 249,854.46 = 55,753 : x
  2. Step 2: Convert to fraction form
    166,586.92/249,854.46 = 55,753/x
  3. Step 3: Cross multiply
    166,586.92x = 249,854.46 × 55,753
  4. Step 4: Simplify right side
    166,586.92x = 13,930,135,708.38
  5. Step 5: Solve for x
    x = 13,930,135,708.38/166,586.92
  6. Step 6: Final answer
    x = 83,620.83

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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.