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Finding the Fourth Proportional to 204,237, 306,372.78 and 56,493

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Solution

The fourth proportional to 204,237, 306,372.78 and 56,493 is: 84,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,237 : 306,372.78 = 56,493 : x
  2. Step 2: Convert to fraction form
    204,237/306,372.78 = 56,493/x
  3. Step 3: Cross multiply
    204,237x = 306,372.78 × 56,493
  4. Step 4: Simplify right side
    204,237x = 17,307,917,460.54
  5. Step 5: Solve for x
    x = 17,307,917,460.54/204,237
  6. Step 6: Final answer
    x = 84,744.28

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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.