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Finding the Fourth Proportional to 284,250.43, 426,150.73 and 106,737.67

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Solution

The fourth proportional to 284,250.43, 426,150.73 and 106,737.67 is: 160,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,250.43 : 426,150.73 = 106,737.67 : x
  2. Step 2: Convert to fraction form
    284,250.43/426,150.73 = 106,737.67/x
  3. Step 3: Cross multiply
    284,250.43x = 426,150.73 × 106,737.67
  4. Step 4: Simplify right side
    284,250.43x = 45,486,335,989.00
  5. Step 5: Solve for x
    x = 45,486,335,989.00/284,250.43
  6. Step 6: Final answer
    x = 160,022.05

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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.