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Finding the Fourth Proportional to 234,573.82, 352,348.14 and 189,645.95

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Solution

The fourth proportional to 234,573.82, 352,348.14 and 189,645.95 is: 284,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,573.82 : 352,348.14 = 189,645.95 : x
  2. Step 2: Convert to fraction form
    234,573.82/352,348.14 = 189,645.95/x
  3. Step 3: Cross multiply
    234,573.82x = 352,348.14 × 189,645.95
  4. Step 4: Simplify right side
    234,573.82x = 66,821,397,741.03
  5. Step 5: Solve for x
    x = 66,821,397,741.03/234,573.82
  6. Step 6: Final answer
    x = 284,862.98

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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.