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Finding the Fourth Proportional to 217,672.74, 300,349.89 and 132,817.14

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Solution

The fourth proportional to 217,672.74, 300,349.89 and 132,817.14 is: 183,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,672.74 : 300,349.89 = 132,817.14 : x
  2. Step 2: Convert to fraction form
    217,672.74/300,349.89 = 132,817.14/x
  3. Step 3: Cross multiply
    217,672.74x = 300,349.89 × 132,817.14
  4. Step 4: Simplify right side
    217,672.74x = 39,891,613,389.11
  5. Step 5: Solve for x
    x = 39,891,613,389.11/217,672.74
  6. Step 6: Final answer
    x = 183,264.17

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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.