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Finding the Fourth Proportional to 253,223.82, 349,517.97 and 157,674.06

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Solution

The fourth proportional to 253,223.82, 349,517.97 and 157,674.06 is: 217,633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,223.82 : 349,517.97 = 157,674.06 : x
  2. Step 2: Convert to fraction form
    253,223.82/349,517.97 = 157,674.06/x
  3. Step 3: Cross multiply
    253,223.82x = 349,517.97 × 157,674.06
  4. Step 4: Simplify right side
    253,223.82x = 55,109,917,372.86
  5. Step 5: Solve for x
    x = 55,109,917,372.86/253,223.82
  6. Step 6: Final answer
    x = 217,633.23

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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.