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Finding the Fourth Proportional to 221,969.60, 332,954.40 and 97,310.60

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Solution

The fourth proportional to 221,969.60, 332,954.40 and 97,310.60 is: 145,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,969.60 : 332,954.40 = 97,310.60 : x
  2. Step 2: Convert to fraction form
    221,969.60/332,954.40 = 97,310.60/x
  3. Step 3: Cross multiply
    221,969.60x = 332,954.40 × 97,310.60
  4. Step 4: Simplify right side
    221,969.60x = 32,399,992,436.64
  5. Step 5: Solve for x
    x = 32,399,992,436.64/221,969.60
  6. Step 6: Final answer
    x = 145,965.90

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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.