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Finding the Fourth Proportional to 206,590.06, 285,122.10 and 115,950.98

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Solution

The fourth proportional to 206,590.06, 285,122.10 and 115,950.98 is: 160,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,590.06 : 285,122.10 = 115,950.98 : x
  2. Step 2: Convert to fraction form
    206,590.06/285,122.10 = 115,950.98/x
  3. Step 3: Cross multiply
    206,590.06x = 285,122.10 × 115,950.98
  4. Step 4: Simplify right side
    206,590.06x = 33,060,186,769.72
  5. Step 5: Solve for x
    x = 33,060,186,769.72/206,590.06
  6. Step 6: Final answer
    x = 160,027.97

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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.