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Finding the Fourth Proportional to 198,537.60, 297,859.20 and 86,169.60

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Solution

The fourth proportional to 198,537.60, 297,859.20 and 86,169.60 is: 129,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,537.60 : 297,859.20 = 86,169.60 : x
  2. Step 2: Convert to fraction form
    198,537.60/297,859.20 = 86,169.60/x
  3. Step 3: Cross multiply
    198,537.60x = 297,859.20 × 86,169.60
  4. Step 4: Simplify right side
    198,537.60x = 25,666,408,120.32
  5. Step 5: Solve for x
    x = 25,666,408,120.32/198,537.60
  6. Step 6: Final answer
    x = 129,277.32

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