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Finding the Fourth Proportional to 127,084.23, 175,383.54 and 76,799.43

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Solution

The fourth proportional to 127,084.23, 175,383.54 and 76,799.43 is: 105,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,084.23 : 175,383.54 = 76,799.43 : x
  2. Step 2: Convert to fraction form
    127,084.23/175,383.54 = 76,799.43/x
  3. Step 3: Cross multiply
    127,084.23x = 175,383.54 × 76,799.43
  4. Step 4: Simplify right side
    127,084.23x = 13,469,355,903.38
  5. Step 5: Solve for x
    x = 13,469,355,903.38/127,084.23
  6. Step 6: Final answer
    x = 105,987.63

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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.