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Finding the Fourth Proportional to 462,136, 693,204 and 166,648

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Solution

The fourth proportional to 462,136, 693,204 and 166,648 is: 249,972

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,136 : 693,204 = 166,648 : x
  2. Step 2: Convert to fraction form
    462,136/693,204 = 166,648/x
  3. Step 3: Cross multiply
    462,136x = 693,204 × 166,648
  4. Step 4: Simplify right side
    462,136x = 115,521,060,192
  5. Step 5: Solve for x
    x = 115,521,060,192/462,136
  6. Step 6: Final answer
    x = 249,972

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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.