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Finding the Fourth Proportional to 180,906.40, 271,359.60 and 75,714.40

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Solution

The fourth proportional to 180,906.40, 271,359.60 and 75,714.40 is: 113,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,906.40 : 271,359.60 = 75,714.40 : x
  2. Step 2: Convert to fraction form
    180,906.40/271,359.60 = 75,714.40/x
  3. Step 3: Cross multiply
    180,906.40x = 271,359.60 × 75,714.40
  4. Step 4: Simplify right side
    180,906.40x = 20,545,829,298.24
  5. Step 5: Solve for x
    x = 20,545,829,298.24/180,906.40
  6. Step 6: Final answer
    x = 113,571.60

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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.