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Finding the Fourth Proportional to 166,353.76, 249,456.52 and 47,996.97

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Solution

The fourth proportional to 166,353.76, 249,456.52 and 47,996.97 is: 71,974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,353.76 : 249,456.52 = 47,996.97 : x
  2. Step 2: Convert to fraction form
    166,353.76/249,456.52 = 47,996.97/x
  3. Step 3: Cross multiply
    166,353.76x = 249,456.52 × 47,996.97
  4. Step 4: Simplify right side
    166,353.76x = 11,973,157,106.74
  5. Step 5: Solve for x
    x = 11,973,157,106.74/166,353.76
  6. Step 6: Final answer
    x = 71,974.07

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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.