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Finding the Fourth Proportional to 180,523.88, 270,941.34 and 87,108.20

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Solution

The fourth proportional to 180,523.88, 270,941.34 and 87,108.20 is: 130,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,523.88 : 270,941.34 = 87,108.20 : x
  2. Step 2: Convert to fraction form
    180,523.88/270,941.34 = 87,108.20/x
  3. Step 3: Cross multiply
    180,523.88x = 270,941.34 × 87,108.20
  4. Step 4: Simplify right side
    180,523.88x = 23,601,212,432.99
  5. Step 5: Solve for x
    x = 23,601,212,432.99/180,523.88
  6. Step 6: Final answer
    x = 130,737.34

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1.5x scale

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.