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Finding the Fourth Proportional to 127,331.84, 175,728.40 and 82,103.98

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Solution

The fourth proportional to 127,331.84, 175,728.40 and 82,103.98 is: 113,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,331.84 : 175,728.40 = 82,103.98 : x
  2. Step 2: Convert to fraction form
    127,331.84/175,728.40 = 82,103.98/x
  3. Step 3: Cross multiply
    127,331.84x = 175,728.40 × 82,103.98
  4. Step 4: Simplify right side
    127,331.84x = 14,428,001,039.03
  5. Step 5: Solve for x
    x = 14,428,001,039.03/127,331.84
  6. Step 6: Final answer
    x = 113,310.24

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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.