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Finding the Fourth Proportional to 182,978.10, 274,467.46 and 120,194.80

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Solution

The fourth proportional to 182,978.10, 274,467.46 and 120,194.80 is: 180,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,978.10 : 274,467.46 = 120,194.80 : x
  2. Step 2: Convert to fraction form
    182,978.10/274,467.46 = 120,194.80/x
  3. Step 3: Cross multiply
    182,978.10x = 274,467.46 × 120,194.80
  4. Step 4: Simplify right side
    182,978.10x = 32,989,561,461.21
  5. Step 5: Solve for x
    x = 32,989,561,461.21/182,978.10
  6. Step 6: Final answer
    x = 180,292.40

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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.