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Finding the Fourth Proportional to 217,834.66, 300,645.21 and 133,001.38

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Solution

The fourth proportional to 217,834.66, 300,645.21 and 133,001.38 is: 183,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,834.66 : 300,645.21 = 133,001.38 : x
  2. Step 2: Convert to fraction form
    217,834.66/300,645.21 = 133,001.38/x
  3. Step 3: Cross multiply
    217,834.66x = 300,645.21 × 133,001.38
  4. Step 4: Simplify right side
    217,834.66x = 39,986,227,820.39
  5. Step 5: Solve for x
    x = 39,986,227,820.39/217,834.66
  6. Step 6: Final answer
    x = 183,562.28

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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.