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Finding the Fourth Proportional to 219,771.60, 329,657.40 and 86,583.30

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Solution

The fourth proportional to 219,771.60, 329,657.40 and 86,583.30 is: 129,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,771.60 : 329,657.40 = 86,583.30 : x
  2. Step 2: Convert to fraction form
    219,771.60/329,657.40 = 86,583.30/x
  3. Step 3: Cross multiply
    219,771.60x = 329,657.40 × 86,583.30
  4. Step 4: Simplify right side
    219,771.60x = 28,542,825,561.42
  5. Step 5: Solve for x
    x = 28,542,825,561.42/219,771.60
  6. Step 6: Final answer
    x = 129,874.95

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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.