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Finding the Fourth Proportional to 213,662.27, 294,944.72 and 133,129.59

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Solution

The fourth proportional to 213,662.27, 294,944.72 and 133,129.59 is: 183,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,662.27 : 294,944.72 = 133,129.59 : x
  2. Step 2: Convert to fraction form
    213,662.27/294,944.72 = 133,129.59/x
  3. Step 3: Cross multiply
    213,662.27x = 294,944.72 × 133,129.59
  4. Step 4: Simplify right side
    213,662.27x = 39,265,868,504.37
  5. Step 5: Solve for x
    x = 39,265,868,504.37/213,662.27
  6. Step 6: Final answer
    x = 183,775.39

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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.