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Finding the Fourth Proportional to 237,546, 356,348.16 and 71,334

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Solution

The fourth proportional to 237,546, 356,348.16 and 71,334 is: 107,009.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,546 : 356,348.16 = 71,334 : x
  2. Step 2: Convert to fraction form
    237,546/356,348.16 = 71,334/x
  3. Step 3: Cross multiply
    237,546x = 356,348.16 × 71,334
  4. Step 4: Simplify right side
    237,546x = 25,419,739,645.44
  5. Step 5: Solve for x
    x = 25,419,739,645.44/237,546
  6. Step 6: Final answer
    x = 107,009.76

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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.