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Finding the Fourth Proportional to 198,509.34, 297,596.57 and 86,104.94

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Solution

The fourth proportional to 198,509.34, 297,596.57 and 86,104.94 is: 129,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,509.34 : 297,596.57 = 86,104.94 : x
  2. Step 2: Convert to fraction form
    198,509.34/297,596.57 = 86,104.94/x
  3. Step 3: Cross multiply
    198,509.34x = 297,596.57 × 86,104.94
  4. Step 4: Simplify right side
    198,509.34x = 25,624,532,885.55
  5. Step 5: Solve for x
    x = 25,624,532,885.55/198,509.34
  6. Step 6: Final answer
    x = 129,084.77

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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.