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Finding the Fourth Proportional to 142,321.50, 213,503.10 and 58,086.78

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Solution

The fourth proportional to 142,321.50, 213,503.10 and 58,086.78 is: 87,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,321.50 : 213,503.10 = 58,086.78 : x
  2. Step 2: Convert to fraction form
    142,321.50/213,503.10 = 58,086.78/x
  3. Step 3: Cross multiply
    142,321.50x = 213,503.10 × 58,086.78
  4. Step 4: Simplify right side
    142,321.50x = 12,401,707,599.02
  5. Step 5: Solve for x
    x = 12,401,707,599.02/142,321.50
  6. Step 6: Final answer
    x = 87,138.68

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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.