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Finding the Fourth Proportional to 206,187.93, 283,854.38 and 184,930.29

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Solution

The fourth proportional to 206,187.93, 283,854.38 and 184,930.29 is: 254,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,187.93 : 283,854.38 = 184,930.29 : x
  2. Step 2: Convert to fraction form
    206,187.93/283,854.38 = 184,930.29/x
  3. Step 3: Cross multiply
    206,187.93x = 283,854.38 × 184,930.29
  4. Step 4: Simplify right side
    206,187.93x = 52,493,271,886.52
  5. Step 5: Solve for x
    x = 52,493,271,886.52/206,187.93
  6. Step 6: Final answer
    x = 254,589.45

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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.