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Finding the Fourth Proportional to 150,806.52, 208,104.75 and 82,832.40

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Solution

The fourth proportional to 150,806.52, 208,104.75 and 82,832.40 is: 114,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,806.52 : 208,104.75 = 82,832.40 : x
  2. Step 2: Convert to fraction form
    150,806.52/208,104.75 = 82,832.40/x
  3. Step 3: Cross multiply
    150,806.52x = 208,104.75 × 82,832.40
  4. Step 4: Simplify right side
    150,806.52x = 17,237,815,893.90
  5. Step 5: Solve for x
    x = 17,237,815,893.90/150,806.52
  6. Step 6: Final answer
    x = 114,304.18

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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.