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Finding the Fourth Proportional to 206,553.12, 285,131.52 and 174,887.52

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Solution

The fourth proportional to 206,553.12, 285,131.52 and 174,887.52 is: 241,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,553.12 : 285,131.52 = 174,887.52 : x
  2. Step 2: Convert to fraction form
    206,553.12/285,131.52 = 174,887.52/x
  3. Step 3: Cross multiply
    206,553.12x = 285,131.52 × 174,887.52
  4. Step 4: Simplify right side
    206,553.12x = 49,865,944,406.63
  5. Step 5: Solve for x
    x = 49,865,944,406.63/206,553.12
  6. Step 6: Final answer
    x = 241,419.47

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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.