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Finding the Fourth Proportional to 253,446, 349,755.48 and 147,462

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Solution

The fourth proportional to 253,446, 349,755.48 and 147,462 is: 203,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,446 : 349,755.48 = 147,462 : x
  2. Step 2: Convert to fraction form
    253,446/349,755.48 = 147,462/x
  3. Step 3: Cross multiply
    253,446x = 349,755.48 × 147,462
  4. Step 4: Simplify right side
    253,446x = 51,575,642,591.76
  5. Step 5: Solve for x
    x = 51,575,642,591.76/253,446
  6. Step 6: Final answer
    x = 203,497.56

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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.