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Finding the Fourth Proportional to 213,433.59, 294,512.72 and 117,927.21

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Solution

The fourth proportional to 213,433.59, 294,512.72 and 117,927.21 is: 162,725.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,433.59 : 294,512.72 = 117,927.21 : x
  2. Step 2: Convert to fraction form
    213,433.59/294,512.72 = 117,927.21/x
  3. Step 3: Cross multiply
    213,433.59x = 294,512.72 × 117,927.21
  4. Step 4: Simplify right side
    213,433.59x = 34,731,062,789.48
  5. Step 5: Solve for x
    x = 34,731,062,789.48/213,433.59
  6. Step 6: Final answer
    x = 162,725.38

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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.