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Finding the Fourth Proportional to 198,962.60, 298,496.70 and 86,594.60

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Solution

The fourth proportional to 198,962.60, 298,496.70 and 86,594.60 is: 129,914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,962.60 : 298,496.70 = 86,594.60 : x
  2. Step 2: Convert to fraction form
    198,962.60/298,496.70 = 86,594.60/x
  3. Step 3: Cross multiply
    198,962.60x = 298,496.70 × 86,594.60
  4. Step 4: Simplify right side
    198,962.60x = 25,848,202,337.82
  5. Step 5: Solve for x
    x = 25,848,202,337.82/198,962.60
  6. Step 6: Final answer
    x = 129,914.88

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Why These Related Problems?

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