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Finding the Fourth Proportional to 206,539.47, 285,023.34 and 115,895.34

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Solution

The fourth proportional to 206,539.47, 285,023.34 and 115,895.34 is: 159,934.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,539.47 : 285,023.34 = 115,895.34 : x
  2. Step 2: Convert to fraction form
    206,539.47/285,023.34 = 115,895.34/x
  3. Step 3: Cross multiply
    206,539.47x = 285,023.34 × 115,895.34
  4. Step 4: Simplify right side
    206,539.47x = 33,032,876,897.24
  5. Step 5: Solve for x
    x = 33,032,876,897.24/206,539.47
  6. Step 6: Final answer
    x = 159,934.94

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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.