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Finding the Fourth Proportional to 206,476.68, 284,933.32 and 115,830.98

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Solution

The fourth proportional to 206,476.68, 284,933.32 and 115,830.98 is: 159,844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,476.68 : 284,933.32 = 115,830.98 : x
  2. Step 2: Convert to fraction form
    206,476.68/284,933.32 = 115,830.98/x
  3. Step 3: Cross multiply
    206,476.68x = 284,933.32 × 115,830.98
  4. Step 4: Simplify right side
    206,476.68x = 33,004,105,690.25
  5. Step 5: Solve for x
    x = 33,004,105,690.25/206,476.68
  6. Step 6: Final answer
    x = 159,844.23

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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.