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Finding the Fourth Proportional to 206,090.65, 309,142.06 and 175,914.63

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Solution

The fourth proportional to 206,090.65, 309,142.06 and 175,914.63 is: 263,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,090.65 : 309,142.06 = 175,914.63 : x
  2. Step 2: Convert to fraction form
    206,090.65/309,142.06 = 175,914.63/x
  3. Step 3: Cross multiply
    206,090.65x = 309,142.06 × 175,914.63
  4. Step 4: Simplify right side
    206,090.65x = 54,382,611,102.34
  5. Step 5: Solve for x
    x = 54,382,611,102.34/206,090.65
  6. Step 6: Final answer
    x = 263,877.14

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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.