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Finding the Fourth Proportional to 217,108.36, 299,668.98 and 132,224.68

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Solution

The fourth proportional to 217,108.36, 299,668.98 and 132,224.68 is: 182,506.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,108.36 : 299,668.98 = 132,224.68 : x
  2. Step 2: Convert to fraction form
    217,108.36/299,668.98 = 132,224.68/x
  3. Step 3: Cross multiply
    217,108.36x = 299,668.98 × 132,224.68
  4. Step 4: Simplify right side
    217,108.36x = 39,623,634,986.43
  5. Step 5: Solve for x
    x = 39,623,634,986.43/217,108.36
  6. Step 6: Final answer
    x = 182,506.26

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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.