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Finding the Fourth Proportional to 206,355.67, 284,751.04 and 115,715.46

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Solution

The fourth proportional to 206,355.67, 284,751.04 and 115,715.46 is: 159,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,355.67 : 284,751.04 = 115,715.46 : x
  2. Step 2: Convert to fraction form
    206,355.67/284,751.04 = 115,715.46/x
  3. Step 3: Cross multiply
    206,355.67x = 284,751.04 × 115,715.46
  4. Step 4: Simplify right side
    206,355.67x = 32,950,097,579.08
  5. Step 5: Solve for x
    x = 32,950,097,579.08/206,355.67
  6. Step 6: Final answer
    x = 159,676.24

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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.