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Finding the Fourth Proportional to 231,059.59, 346,622.46 and 71,149.06

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Solution

The fourth proportional to 231,059.59, 346,622.46 and 71,149.06 is: 106,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,059.59 : 346,622.46 = 71,149.06 : x
  2. Step 2: Convert to fraction form
    231,059.59/346,622.46 = 71,149.06/x
  3. Step 3: Cross multiply
    231,059.59x = 346,622.46 × 71,149.06
  4. Step 4: Simplify right side
    231,059.59x = 24,661,861,995.80
  5. Step 5: Solve for x
    x = 24,661,861,995.80/231,059.59
  6. Step 6: Final answer
    x = 106,733.77

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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.