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Finding the Fourth Proportional to 282,112.66, 423,196.26 and 82,428.49

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Solution

The fourth proportional to 282,112.66, 423,196.26 and 82,428.49 is: 123,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,112.66 : 423,196.26 = 82,428.49 : x
  2. Step 2: Convert to fraction form
    282,112.66/423,196.26 = 82,428.49/x
  3. Step 3: Cross multiply
    282,112.66x = 423,196.26 × 82,428.49
  4. Step 4: Simplify right side
    282,112.66x = 34,883,428,685.45
  5. Step 5: Solve for x
    x = 34,883,428,685.45/282,112.66
  6. Step 6: Final answer
    x = 123,650.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.