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Finding the Fourth Proportional to 206,125.26, 284,482.90 and 115,487.36

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Solution

The fourth proportional to 206,125.26, 284,482.90 and 115,487.36 is: 159,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,125.26 : 284,482.90 = 115,487.36 : x
  2. Step 2: Convert to fraction form
    206,125.26/284,482.90 = 115,487.36/x
  3. Step 3: Cross multiply
    206,125.26x = 284,482.90 × 115,487.36
  4. Step 4: Simplify right side
    206,125.26x = 32,854,179,086.14
  5. Step 5: Solve for x
    x = 32,854,179,086.14/206,125.26
  6. Step 6: Final answer
    x = 159,389.39

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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.