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Finding the Fourth Proportional to 180,573.80, 270,903.90 and 87,002.60

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Solution

The fourth proportional to 180,573.80, 270,903.90 and 87,002.60 is: 130,524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,573.80 : 270,903.90 = 87,002.60 : x
  2. Step 2: Convert to fraction form
    180,573.80/270,903.90 = 87,002.60/x
  3. Step 3: Cross multiply
    180,573.80x = 270,903.90 × 87,002.60
  4. Step 4: Simplify right side
    180,573.80x = 23,569,343,650.14
  5. Step 5: Solve for x
    x = 23,569,343,650.14/180,573.80
  6. Step 6: Final answer
    x = 130,524.71

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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.