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Finding the Fourth Proportional to 232,471.71, 348,586.42 and 82,690.26

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Solution

The fourth proportional to 232,471.71, 348,586.42 and 82,690.26 is: 123,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,471.71 : 348,586.42 = 82,690.26 : x
  2. Step 2: Convert to fraction form
    232,471.71/348,586.42 = 82,690.26/x
  3. Step 3: Cross multiply
    232,471.71x = 348,586.42 × 82,690.26
  4. Step 4: Simplify right side
    232,471.71x = 28,824,701,702.27
  5. Step 5: Solve for x
    x = 28,824,701,702.27/232,471.71
  6. Step 6: Final answer
    x = 123,992.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.