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Finding the Fourth Proportional to 142,408.60, 213,645.30 and 83,213.80

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Solution

The fourth proportional to 142,408.60, 213,645.30 and 83,213.80 is: 124,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,408.60 : 213,645.30 = 83,213.80 : x
  2. Step 2: Convert to fraction form
    142,408.60/213,645.30 = 83,213.80/x
  3. Step 3: Cross multiply
    142,408.60x = 213,645.30 × 83,213.80
  4. Step 4: Simplify right side
    142,408.60x = 17,778,237,265.14
  5. Step 5: Solve for x
    x = 17,778,237,265.14/142,408.60
  6. Step 6: Final answer
    x = 124,839.63

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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.