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Finding the Fourth Proportional to 206,065.63, 309,057.44 and 56,270.31

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Solution

The fourth proportional to 206,065.63, 309,057.44 and 56,270.31 is: 84,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,065.63 : 309,057.44 = 56,270.31 : x
  2. Step 2: Convert to fraction form
    206,065.63/309,057.44 = 56,270.31/x
  3. Step 3: Cross multiply
    206,065.63x = 309,057.44 × 56,270.31
  4. Step 4: Simplify right side
    206,065.63x = 17,390,759,341.87
  5. Step 5: Solve for x
    x = 17,390,759,341.87/206,065.63
  6. Step 6: Final answer
    x = 84,394.27

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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.