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Finding the Fourth Proportional to 198,893.24, 298,268.82 and 65,748.92

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Solution

The fourth proportional to 198,893.24, 298,268.82 and 65,748.92 is: 98,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,893.24 : 298,268.82 = 65,748.92 : x
  2. Step 2: Convert to fraction form
    198,893.24/298,268.82 = 65,748.92/x
  3. Step 3: Cross multiply
    198,893.24x = 298,268.82 × 65,748.92
  4. Step 4: Simplify right side
    198,893.24x = 19,610,852,784.67
  5. Step 5: Solve for x
    x = 19,610,852,784.67/198,893.24
  6. Step 6: Final answer
    x = 98,599.90

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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.