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Finding the Fourth Proportional to 166,105, 249,261.18 and 67,609

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Solution

The fourth proportional to 166,105, 249,261.18 and 67,609 is: 101,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,105 : 249,261.18 = 67,609 : x
  2. Step 2: Convert to fraction form
    166,105/249,261.18 = 67,609/x
  3. Step 3: Cross multiply
    166,105x = 249,261.18 × 67,609
  4. Step 4: Simplify right side
    166,105x = 16,852,299,118.62
  5. Step 5: Solve for x
    x = 16,852,299,118.62/166,105
  6. Step 6: Final answer
    x = 101,455.70

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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.