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Finding the Fourth Proportional to 133,283.73, 183,932.78 and 75,922.23

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Solution

The fourth proportional to 133,283.73, 183,932.78 and 75,922.23 is: 104,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,283.73 : 183,932.78 = 75,922.23 : x
  2. Step 2: Convert to fraction form
    133,283.73/183,932.78 = 75,922.23/x
  3. Step 3: Cross multiply
    133,283.73x = 183,932.78 × 75,922.23
  4. Step 4: Simplify right side
    133,283.73x = 13,964,586,043.05
  5. Step 5: Solve for x
    x = 13,964,586,043.05/133,283.73
  6. Step 6: Final answer
    x = 104,773.38

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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.