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Finding the Fourth Proportional to 180,572.80, 270,902.40 and 87,001.60

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Solution

The fourth proportional to 180,572.80, 270,902.40 and 87,001.60 is: 130,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,572.80 : 270,902.40 = 87,001.60 : x
  2. Step 2: Convert to fraction form
    180,572.80/270,902.40 = 87,001.60/x
  3. Step 3: Cross multiply
    180,572.80x = 270,902.40 × 87,001.60
  4. Step 4: Simplify right side
    180,572.80x = 23,568,942,243.84
  5. Step 5: Solve for x
    x = 23,568,942,243.84/180,572.80
  6. Step 6: Final answer
    x = 130,523.21

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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.