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Finding the Fourth Proportional to 217,123.38, 323,759.66 and 202,645.44

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Solution

The fourth proportional to 217,123.38, 323,759.66 and 202,645.44 is: 302,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,123.38 : 323,759.66 = 202,645.44 : x
  2. Step 2: Convert to fraction form
    217,123.38/323,759.66 = 202,645.44/x
  3. Step 3: Cross multiply
    217,123.38x = 323,759.66 × 202,645.44
  4. Step 4: Simplify right side
    217,123.38x = 65,608,417,741.72
  5. Step 5: Solve for x
    x = 65,608,417,741.72/217,123.38
  6. Step 6: Final answer
    x = 302,171.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.