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Finding the Fourth Proportional to 205,137, 283,089.42 and 115,713

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Solution

The fourth proportional to 205,137, 283,089.42 and 115,713 is: 159,684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,137 : 283,089.42 = 115,713 : x
  2. Step 2: Convert to fraction form
    205,137/283,089.42 = 115,713/x
  3. Step 3: Cross multiply
    205,137x = 283,089.42 × 115,713
  4. Step 4: Simplify right side
    205,137x = 32,757,126,056.46
  5. Step 5: Solve for x
    x = 32,757,126,056.46/205,137
  6. Step 6: Final answer
    x = 159,684.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.