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Finding the Fourth Proportional to 166,069.20, 249,136.20 and 71,299.20

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Solution

The fourth proportional to 166,069.20, 249,136.20 and 71,299.20 is: 106,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,069.20 : 249,136.20 = 71,299.20 : x
  2. Step 2: Convert to fraction form
    166,069.20/249,136.20 = 71,299.20/x
  3. Step 3: Cross multiply
    166,069.20x = 249,136.20 × 71,299.20
  4. Step 4: Simplify right side
    166,069.20x = 17,763,211,751.04
  5. Step 5: Solve for x
    x = 17,763,211,751.04/166,069.20
  6. Step 6: Final answer
    x = 106,962.71

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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.