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Finding the Fourth Proportional to 188,973, 283,503.24 and 64,314

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Solution

The fourth proportional to 188,973, 283,503.24 and 64,314 is: 96,485.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,973 : 283,503.24 = 64,314 : x
  2. Step 2: Convert to fraction form
    188,973/283,503.24 = 64,314/x
  3. Step 3: Cross multiply
    188,973x = 283,503.24 × 64,314
  4. Step 4: Simplify right side
    188,973x = 18,233,227,377.36
  5. Step 5: Solve for x
    x = 18,233,227,377.36/188,973
  6. Step 6: Final answer
    x = 96,485.89

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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.