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Finding the Fourth Proportional to 342,059.40, 513,198.45 and 117,563.85

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Solution

The fourth proportional to 342,059.40, 513,198.45 and 117,563.85 is: 176,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,059.40 : 513,198.45 = 117,563.85 : x
  2. Step 2: Convert to fraction form
    342,059.40/513,198.45 = 117,563.85/x
  3. Step 3: Cross multiply
    342,059.40x = 513,198.45 × 117,563.85
  4. Step 4: Simplify right side
    342,059.40x = 60,333,585,596.03
  5. Step 5: Solve for x
    x = 60,333,585,596.03/342,059.40
  6. Step 6: Final answer
    x = 176,383.36

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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.