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Finding the Fourth Proportional to 206,887.76, 285,501.12 and 116,244.08

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Solution

The fourth proportional to 206,887.76, 285,501.12 and 116,244.08 is: 160,414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,887.76 : 285,501.12 = 116,244.08 : x
  2. Step 2: Convert to fraction form
    206,887.76/285,501.12 = 116,244.08/x
  3. Step 3: Cross multiply
    206,887.76x = 285,501.12 × 116,244.08
  4. Step 4: Simplify right side
    206,887.76x = 33,187,815,033.37
  5. Step 5: Solve for x
    x = 33,187,815,033.37/206,887.76
  6. Step 6: Final answer
    x = 160,414.59

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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.