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Finding the Fourth Proportional to 212,818.92, 293,690.70 and 117,323.52

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Solution

The fourth proportional to 212,818.92, 293,690.70 and 117,323.52 is: 161,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,818.92 : 293,690.70 = 117,323.52 : x
  2. Step 2: Convert to fraction form
    212,818.92/293,690.70 = 117,323.52/x
  3. Step 3: Cross multiply
    212,818.92x = 293,690.70 × 117,323.52
  4. Step 4: Simplify right side
    212,818.92x = 34,456,826,715.26
  5. Step 5: Solve for x
    x = 34,456,826,715.26/212,818.92
  6. Step 6: Final answer
    x = 161,906.78

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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.