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Finding the Fourth Proportional to 274,023.60, 410,938.20 and 96,536.40

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Solution

The fourth proportional to 274,023.60, 410,938.20 and 96,536.40 is: 144,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,023.60 : 410,938.20 = 96,536.40 : x
  2. Step 2: Convert to fraction form
    274,023.60/410,938.20 = 96,536.40/x
  3. Step 3: Cross multiply
    274,023.60x = 410,938.20 × 96,536.40
  4. Step 4: Simplify right side
    274,023.60x = 39,670,494,450.48
  5. Step 5: Solve for x
    x = 39,670,494,450.48/274,023.60
  6. Step 6: Final answer
    x = 144,770.36

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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.