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Finding the Fourth Proportional to 248,765, 373,205.82 and 82,553

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Solution

The fourth proportional to 248,765, 373,205.82 and 82,553 is: 123,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,765 : 373,205.82 = 82,553 : x
  2. Step 2: Convert to fraction form
    248,765/373,205.82 = 82,553/x
  3. Step 3: Cross multiply
    248,765x = 373,205.82 × 82,553
  4. Step 4: Simplify right side
    248,765x = 30,809,260,058.46
  5. Step 5: Solve for x
    x = 30,809,260,058.46/248,765
  6. Step 6: Final answer
    x = 123,848.85

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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.