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Finding the Fourth Proportional to 217,211.34, 299,751.64 and 132,328.34

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Solution

The fourth proportional to 217,211.34, 299,751.64 and 132,328.34 is: 182,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,211.34 : 299,751.64 = 132,328.34 : x
  2. Step 2: Convert to fraction form
    217,211.34/299,751.64 = 132,328.34/x
  3. Step 3: Cross multiply
    217,211.34x = 299,751.64 × 132,328.34
  4. Step 4: Simplify right side
    217,211.34x = 39,665,636,933.48
  5. Step 5: Solve for x
    x = 39,665,636,933.48/217,211.34
  6. Step 6: Final answer
    x = 182,613.10

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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.