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Finding the Fourth Proportional to 213,311.70, 294,358.32 and 132,736.68

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Solution

The fourth proportional to 213,311.70, 294,358.32 and 132,736.68 is: 183,169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,311.70 : 294,358.32 = 132,736.68 : x
  2. Step 2: Convert to fraction form
    213,311.70/294,358.32 = 132,736.68/x
  3. Step 3: Cross multiply
    213,311.70x = 294,358.32 × 132,736.68
  4. Step 4: Simplify right side
    213,311.70x = 39,072,146,127.18
  5. Step 5: Solve for x
    x = 39,072,146,127.18/213,311.70
  6. Step 6: Final answer
    x = 183,169.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.