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Finding the Fourth Proportional to 176,383.80, 264,834.90 and 106,399.80

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Solution

The fourth proportional to 176,383.80, 264,834.90 and 106,399.80 is: 159,756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,383.80 : 264,834.90 = 106,399.80 : x
  2. Step 2: Convert to fraction form
    176,383.80/264,834.90 = 106,399.80/x
  3. Step 3: Cross multiply
    176,383.80x = 264,834.90 × 106,399.80
  4. Step 4: Simplify right side
    176,383.80x = 28,178,380,393.02
  5. Step 5: Solve for x
    x = 28,178,380,393.02/176,383.80
  6. Step 6: Final answer
    x = 159,756.06

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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.