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Finding the Fourth Proportional to 234,875.97, 352,563.09 and 208,032.57

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Solution

The fourth proportional to 234,875.97, 352,563.09 and 208,032.57 is: 312,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,875.97 : 352,563.09 = 208,032.57 : x
  2. Step 2: Convert to fraction form
    234,875.97/352,563.09 = 208,032.57/x
  3. Step 3: Cross multiply
    234,875.97x = 352,563.09 × 208,032.57
  4. Step 4: Simplify right side
    234,875.97x = 73,344,603,857.65
  5. Step 5: Solve for x
    x = 73,344,603,857.65/234,875.97
  6. Step 6: Final answer
    x = 312,269.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.