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Finding the Fourth Proportional to 206,114.10, 308,482.25 and 117,343.77

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Solution

The fourth proportional to 206,114.10, 308,482.25 and 117,343.77 is: 175,623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,114.10 : 308,482.25 = 117,343.77 : x
  2. Step 2: Convert to fraction form
    206,114.10/308,482.25 = 117,343.77/x
  3. Step 3: Cross multiply
    206,114.10x = 308,482.25 × 117,343.77
  4. Step 4: Simplify right side
    206,114.10x = 36,198,469,606.36
  5. Step 5: Solve for x
    x = 36,198,469,606.36/206,114.10
  6. Step 6: Final answer
    x = 175,623.45

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Why These Related Problems?

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