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Finding the Fourth Proportional to 198,813.60, 298,317.60 and 93,614.40

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Solution

The fourth proportional to 198,813.60, 298,317.60 and 93,614.40 is: 140,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,813.60 : 298,317.60 = 93,614.40 : x
  2. Step 2: Convert to fraction form
    198,813.60/298,317.60 = 93,614.40/x
  3. Step 3: Cross multiply
    198,813.60x = 298,317.60 × 93,614.40
  4. Step 4: Simplify right side
    198,813.60x = 27,926,823,133.44
  5. Step 5: Solve for x
    x = 27,926,823,133.44/198,813.60
  6. Step 6: Final answer
    x = 140,467.37

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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.