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Finding the Fourth Proportional to 318,862.53, 478,321.34 and 82,203.21

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Solution

The fourth proportional to 318,862.53, 478,321.34 and 82,203.21 is: 123,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,862.53 : 478,321.34 = 82,203.21 : x
  2. Step 2: Convert to fraction form
    318,862.53/478,321.34 = 82,203.21/x
  3. Step 3: Cross multiply
    318,862.53x = 478,321.34 × 82,203.21
  4. Step 4: Simplify right side
    318,862.53x = 39,319,549,148.49
  5. Step 5: Solve for x
    x = 39,319,549,148.49/318,862.53
  6. Step 6: Final answer
    x = 123,311.91

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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.