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Finding the Fourth Proportional to 253,434.94, 379,857.16 and 141,061.41

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Solution

The fourth proportional to 253,434.94, 379,857.16 and 141,061.41 is: 211,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,434.94 : 379,857.16 = 141,061.41 : x
  2. Step 2: Convert to fraction form
    253,434.94/379,857.16 = 141,061.41/x
  3. Step 3: Cross multiply
    253,434.94x = 379,857.16 × 141,061.41
  4. Step 4: Simplify right side
    253,434.94x = 53,583,186,764.52
  5. Step 5: Solve for x
    x = 53,583,186,764.52/253,434.94
  6. Step 6: Final answer
    x = 211,427.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.