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Finding the Fourth Proportional to 192,966.23, 266,294.16 and 108,083.30

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Solution

The fourth proportional to 192,966.23, 266,294.16 and 108,083.30 is: 149,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,966.23 : 266,294.16 = 108,083.30 : x
  2. Step 2: Convert to fraction form
    192,966.23/266,294.16 = 108,083.30/x
  3. Step 3: Cross multiply
    192,966.23x = 266,294.16 × 108,083.30
  4. Step 4: Simplify right side
    192,966.23x = 28,781,951,583.53
  5. Step 5: Solve for x
    x = 28,781,951,583.53/192,966.23
  6. Step 6: Final answer
    x = 149,155.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.