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Finding the Fourth Proportional to 176,563.80, 264,500.10 and 106,234.20

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Solution

The fourth proportional to 176,563.80, 264,500.10 and 106,234.20 is: 159,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,563.80 : 264,500.10 = 106,234.20 : x
  2. Step 2: Convert to fraction form
    176,563.80/264,500.10 = 106,234.20/x
  3. Step 3: Cross multiply
    176,563.80x = 264,500.10 × 106,234.20
  4. Step 4: Simplify right side
    176,563.80x = 28,098,956,523.42
  5. Step 5: Solve for x
    x = 28,098,956,523.42/176,563.80
  6. Step 6: Final answer
    x = 159,143.36

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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.