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Finding the Fourth Proportional to 166,149, 249,222.42 and 41,490

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Solution

The fourth proportional to 166,149, 249,222.42 and 41,490 is: 62,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,149 : 249,222.42 = 41,490 : x
  2. Step 2: Convert to fraction form
    166,149/249,222.42 = 41,490/x
  3. Step 3: Cross multiply
    166,149x = 249,222.42 × 41,490
  4. Step 4: Simplify right side
    166,149x = 10,340,238,205.80
  5. Step 5: Solve for x
    x = 10,340,238,205.80/166,149
  6. Step 6: Final answer
    x = 62,234.73

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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.