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Finding the Fourth Proportional to 166,406, 249,609 and 55,598

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Solution

The fourth proportional to 166,406, 249,609 and 55,598 is: 83,397

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,406 : 249,609 = 55,598 : x
  2. Step 2: Convert to fraction form
    166,406/249,609 = 55,598/x
  3. Step 3: Cross multiply
    166,406x = 249,609 × 55,598
  4. Step 4: Simplify right side
    166,406x = 13,877,761,182
  5. Step 5: Solve for x
    x = 13,877,761,182/166,406
  6. Step 6: Final answer
    x = 83,397

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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.