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Finding the Fourth Proportional to 318,165, 477,250.38 and 96,549

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Solution

The fourth proportional to 318,165, 477,250.38 and 96,549 is: 144,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,165 : 477,250.38 = 96,549 : x
  2. Step 2: Convert to fraction form
    318,165/477,250.38 = 96,549/x
  3. Step 3: Cross multiply
    318,165x = 477,250.38 × 96,549
  4. Step 4: Simplify right side
    318,165x = 46,078,046,938.62
  5. Step 5: Solve for x
    x = 46,078,046,938.62/318,165
  6. Step 6: Final answer
    x = 144,824.37

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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.