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Finding the Fourth Proportional to 166,069.80, 249,760.80 and 149,011.20

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Solution

The fourth proportional to 166,069.80, 249,760.80 and 149,011.20 is: 224,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,069.80 : 249,760.80 = 149,011.20 : x
  2. Step 2: Convert to fraction form
    166,069.80/249,760.80 = 149,011.20/x
  3. Step 3: Cross multiply
    166,069.80x = 249,760.80 × 149,011.20
  4. Step 4: Simplify right side
    166,069.80x = 37,217,156,520.96
  5. Step 5: Solve for x
    x = 37,217,156,520.96/166,069.80
  6. Step 6: Final answer
    x = 224,105.51

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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.