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Finding the Fourth Proportional to 206,814.58, 285,512.96 and 139,187.07

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Solution

The fourth proportional to 206,814.58, 285,512.96 and 139,187.07 is: 192,151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,814.58 : 285,512.96 = 139,187.07 : x
  2. Step 2: Convert to fraction form
    206,814.58/285,512.96 = 139,187.07/x
  3. Step 3: Cross multiply
    206,814.58x = 285,512.96 × 139,187.07
  4. Step 4: Simplify right side
    206,814.58x = 39,739,712,349.43
  5. Step 5: Solve for x
    x = 39,739,712,349.43/206,814.58
  6. Step 6: Final answer
    x = 192,151.41

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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.