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Finding the Fourth Proportional to 166,446.20, 249,701.70 and 71,676.20

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Solution

The fourth proportional to 166,446.20, 249,701.70 and 71,676.20 is: 107,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,446.20 : 249,701.70 = 71,676.20 : x
  2. Step 2: Convert to fraction form
    166,446.20/249,701.70 = 71,676.20/x
  3. Step 3: Cross multiply
    166,446.20x = 249,701.70 × 71,676.20
  4. Step 4: Simplify right side
    166,446.20x = 17,897,668,989.54
  5. Step 5: Solve for x
    x = 17,897,668,989.54/166,446.20
  6. Step 6: Final answer
    x = 107,528.25

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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.