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Finding the Fourth Proportional to 166,076.70, 249,147.45 and 71,306.70

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Solution

The fourth proportional to 166,076.70, 249,147.45 and 71,306.70 is: 106,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,076.70 : 249,147.45 = 71,306.70 : x
  2. Step 2: Convert to fraction form
    166,076.70/249,147.45 = 71,306.70/x
  3. Step 3: Cross multiply
    166,076.70x = 249,147.45 × 71,306.70
  4. Step 4: Simplify right side
    166,076.70x = 17,765,882,472.92
  5. Step 5: Solve for x
    x = 17,765,882,472.92/166,076.70
  6. Step 6: Final answer
    x = 106,973.96

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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.