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Finding the Fourth Proportional to 128,476.31, 177,180.17 and 110,321.33

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Solution

The fourth proportional to 128,476.31, 177,180.17 and 110,321.33 is: 152,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,476.31 : 177,180.17 = 110,321.33 : x
  2. Step 2: Convert to fraction form
    128,476.31/177,180.17 = 110,321.33/x
  3. Step 3: Cross multiply
    128,476.31x = 177,180.17 × 110,321.33
  4. Step 4: Simplify right side
    128,476.31x = 19,546,752,004.03
  5. Step 5: Solve for x
    x = 19,546,752,004.03/128,476.31
  6. Step 6: Final answer
    x = 152,142.85

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