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Finding the Fourth Proportional to 199,109.53, 298,664.30 and 58,857.31

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Solution

The fourth proportional to 199,109.53, 298,664.30 and 58,857.31 is: 88,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,109.53 : 298,664.30 = 58,857.31 : x
  2. Step 2: Convert to fraction form
    199,109.53/298,664.30 = 58,857.31/x
  3. Step 3: Cross multiply
    199,109.53x = 298,664.30 × 58,857.31
  4. Step 4: Simplify right side
    199,109.53x = 17,578,577,291.03
  5. Step 5: Solve for x
    x = 17,578,577,291.03/199,109.53
  6. Step 6: Final answer
    x = 88,285.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.