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Finding the Fourth Proportional to 318,074.69, 477,101.10 and 81,419.42

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Solution

The fourth proportional to 318,074.69, 477,101.10 and 81,419.42 is: 122,126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,074.69 : 477,101.10 = 81,419.42 : x
  2. Step 2: Convert to fraction form
    318,074.69/477,101.10 = 81,419.42/x
  3. Step 3: Cross multiply
    318,074.69x = 477,101.10 × 81,419.42
  4. Step 4: Simplify right side
    318,074.69x = 38,845,294,843.36
  5. Step 5: Solve for x
    x = 38,845,294,843.36/318,074.69
  6. Step 6: Final answer
    x = 122,126.33

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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.