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Finding the Fourth Proportional to 198,506.30, 297,592.04 and 86,101.84

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Solution

The fourth proportional to 198,506.30, 297,592.04 and 86,101.84 is: 129,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,506.30 : 297,592.04 = 86,101.84 : x
  2. Step 2: Convert to fraction form
    198,506.30/297,592.04 = 86,101.84/x
  3. Step 3: Cross multiply
    198,506.30x = 297,592.04 × 86,101.84
  4. Step 4: Simplify right side
    198,506.30x = 25,623,222,213.35
  5. Step 5: Solve for x
    x = 25,623,222,213.35/198,506.30
  6. Step 6: Final answer
    x = 129,080.15

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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.