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Finding the Fourth Proportional to 253,224, 349,460.10 and 140,046.84

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Solution

The fourth proportional to 253,224, 349,460.10 and 140,046.84 is: 193,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,224 : 349,460.10 = 140,046.84 : x
  2. Step 2: Convert to fraction form
    253,224/349,460.10 = 140,046.84/x
  3. Step 3: Cross multiply
    253,224x = 349,460.10 × 140,046.84
  4. Step 4: Simplify right side
    253,224x = 48,940,782,711.08
  5. Step 5: Solve for x
    x = 48,940,782,711.08/253,224
  6. Step 6: Final answer
    x = 193,270.71

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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.