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Finding the Fourth Proportional to 213,080.84, 294,057.55 and 117,593.56

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Solution

The fourth proportional to 213,080.84, 294,057.55 and 117,593.56 is: 162,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,080.84 : 294,057.55 = 117,593.56 : x
  2. Step 2: Convert to fraction form
    213,080.84/294,057.55 = 117,593.56/x
  3. Step 3: Cross multiply
    213,080.84x = 294,057.55 × 117,593.56
  4. Step 4: Simplify right side
    213,080.84x = 34,579,274,149.38
  5. Step 5: Solve for x
    x = 34,579,274,149.38/213,080.84
  6. Step 6: Final answer
    x = 162,282.42

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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.