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Finding the Fourth Proportional to 198,698.72, 298,084.92 and 65,588.24

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Solution

The fourth proportional to 198,698.72, 298,084.92 and 65,588.24 is: 98,394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,698.72 : 298,084.92 = 65,588.24 : x
  2. Step 2: Convert to fraction form
    198,698.72/298,084.92 = 65,588.24/x
  3. Step 3: Cross multiply
    198,698.72x = 298,084.92 × 65,588.24
  4. Step 4: Simplify right side
    198,698.72x = 19,550,865,273.34
  5. Step 5: Solve for x
    x = 19,550,865,273.34/198,698.72
  6. Step 6: Final answer
    x = 98,394.52

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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.