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Finding the Fourth Proportional to 183,512.70, 253,257.57 and 102,965.76

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Solution

The fourth proportional to 183,512.70, 253,257.57 and 102,965.76 is: 142,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,512.70 : 253,257.57 = 102,965.76 : x
  2. Step 2: Convert to fraction form
    183,512.70/253,257.57 = 102,965.76/x
  3. Step 3: Cross multiply
    183,512.70x = 253,257.57 × 102,965.76
  4. Step 4: Simplify right side
    183,512.70x = 26,076,858,170.80
  5. Step 5: Solve for x
    x = 26,076,858,170.80/183,512.70
  6. Step 6: Final answer
    x = 142,098.38

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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.