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Finding the Fourth Proportional to 284,059.33, 426,238.03 and 106,688.77

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Solution

The fourth proportional to 284,059.33, 426,238.03 and 106,688.77 is: 160,089.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,059.33 : 426,238.03 = 106,688.77 : x
  2. Step 2: Convert to fraction form
    284,059.33/426,238.03 = 106,688.77/x
  3. Step 3: Cross multiply
    284,059.33x = 426,238.03 × 106,688.77
  4. Step 4: Simplify right side
    284,059.33x = 45,474,811,147.92
  5. Step 5: Solve for x
    x = 45,474,811,147.92/284,059.33
  6. Step 6: Final answer
    x = 160,089.13

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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.