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Finding the Fourth Proportional to 212,893.92, 293,789.52 and 117,409.44

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Solution

The fourth proportional to 212,893.92, 293,789.52 and 117,409.44 is: 162,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,893.92 : 293,789.52 = 117,409.44 : x
  2. Step 2: Convert to fraction form
    212,893.92/293,789.52 = 117,409.44/x
  3. Step 3: Cross multiply
    212,893.92x = 293,789.52 × 117,409.44
  4. Step 4: Simplify right side
    212,893.92x = 34,493,663,021.07
  5. Step 5: Solve for x
    x = 34,493,663,021.07/212,893.92
  6. Step 6: Final answer
    x = 162,022.77

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1.5x scale

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.