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Finding the Fourth Proportional to 206,382.36, 284,807.40 and 120,344.82

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Solution

The fourth proportional to 206,382.36, 284,807.40 and 120,344.82 is: 166,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,382.36 : 284,807.40 = 120,344.82 : x
  2. Step 2: Convert to fraction form
    206,382.36/284,807.40 = 120,344.82/x
  3. Step 3: Cross multiply
    206,382.36x = 284,807.40 × 120,344.82
  4. Step 4: Simplify right side
    206,382.36x = 34,275,095,287.67
  5. Step 5: Solve for x
    x = 34,275,095,287.67/206,382.36
  6. Step 6: Final answer
    x = 166,075.70

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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.