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Finding the Fourth Proportional to 533,108.43, 799,704.72 and 178,123.68

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Solution

The fourth proportional to 533,108.43, 799,704.72 and 178,123.68 is: 267,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,108.43 : 799,704.72 = 178,123.68 : x
  2. Step 2: Convert to fraction form
    533,108.43/799,704.72 = 178,123.68/x
  3. Step 3: Cross multiply
    533,108.43x = 799,704.72 × 178,123.68
  4. Step 4: Simplify right side
    533,108.43x = 142,446,347,639.77
  5. Step 5: Solve for x
    x = 142,446,347,639.77/533,108.43
  6. Step 6: Final answer
    x = 267,199.58

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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.