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Finding the Fourth Proportional to 198,360.86, 297,559.92 and 65,241.41

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Solution

The fourth proportional to 198,360.86, 297,559.92 and 65,241.41 is: 97,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,360.86 : 297,559.92 = 65,241.41 : x
  2. Step 2: Convert to fraction form
    198,360.86/297,559.92 = 65,241.41/x
  3. Step 3: Cross multiply
    198,360.86x = 297,559.92 × 65,241.41
  4. Step 4: Simplify right side
    198,360.86x = 19,413,228,740.29
  5. Step 5: Solve for x
    x = 19,413,228,740.29/198,360.86
  6. Step 6: Final answer
    x = 97,868.24

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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.