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Finding the Fourth Proportional to 166,492.50, 249,738.99 and 67,996.50

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Solution

The fourth proportional to 166,492.50, 249,738.99 and 67,996.50 is: 101,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,492.50 : 249,738.99 = 67,996.50 : x
  2. Step 2: Convert to fraction form
    166,492.50/249,738.99 = 67,996.50/x
  3. Step 3: Cross multiply
    166,492.50x = 249,738.99 × 67,996.50
  4. Step 4: Simplify right side
    166,492.50x = 16,981,377,233.54
  5. Step 5: Solve for x
    x = 16,981,377,233.54/166,492.50
  6. Step 6: Final answer
    x = 101,994.85

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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.