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Finding the Fourth Proportional to 166,401, 249,601.50 and 55,593

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Solution

The fourth proportional to 166,401, 249,601.50 and 55,593 is: 83,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,401 : 249,601.50 = 55,593 : x
  2. Step 2: Convert to fraction form
    166,401/249,601.50 = 55,593/x
  3. Step 3: Cross multiply
    166,401x = 249,601.50 × 55,593
  4. Step 4: Simplify right side
    166,401x = 13,876,096,189.50
  5. Step 5: Solve for x
    x = 13,876,096,189.50/166,401
  6. Step 6: Final answer
    x = 83,389.50

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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.