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Finding the Fourth Proportional to 208,957.34, 288,347.24 and 115,817.03

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Solution

The fourth proportional to 208,957.34, 288,347.24 and 115,817.03 is: 159,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,957.34 : 288,347.24 = 115,817.03 : x
  2. Step 2: Convert to fraction form
    208,957.34/288,347.24 = 115,817.03/x
  3. Step 3: Cross multiply
    208,957.34x = 288,347.24 × 115,817.03
  4. Step 4: Simplify right side
    208,957.34x = 33,395,519,736.21
  5. Step 5: Solve for x
    x = 33,395,519,736.21/208,957.34
  6. Step 6: Final answer
    x = 159,819.80

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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.