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Finding the Fourth Proportional to 176,271,406.60, 264,449,100.30 and 85,320,200.20

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Solution

The fourth proportional to 176,271,406.60, 264,449,100.30 and 85,320,200.20 is: 128,000,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,271,406.60 : 264,449,100.30 = 85,320,200.20 : x
  2. Step 2: Convert to fraction form
    176,271,406.60/264,449,100.30 = 85,320,200.20/x
  3. Step 3: Cross multiply
    176,271,406.60x = 264,449,100.30 × 85,320,200.20
  4. Step 4: Simplify right side
    176,271,406.60x = 22,562,850,180,305,880
  5. Step 5: Solve for x
    x = 22,562,850,180,305,880/176,271,406.60
  6. Step 6: Final answer
    x = 128,000,624.81

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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.