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Finding the Fourth Proportional to 180,846.40, 271,269.60 and 160,801.60

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Solution

The fourth proportional to 180,846.40, 271,269.60 and 160,801.60 is: 241,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,846.40 : 271,269.60 = 160,801.60 : x
  2. Step 2: Convert to fraction form
    180,846.40/271,269.60 = 160,801.60/x
  3. Step 3: Cross multiply
    180,846.40x = 271,269.60 × 160,801.60
  4. Step 4: Simplify right side
    180,846.40x = 43,620,585,711.36
  5. Step 5: Solve for x
    x = 43,620,585,711.36/180,846.40
  6. Step 6: Final answer
    x = 241,202.40

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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.