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Finding the Fourth Proportional to 198,959.34, 298,439.04 and 65,803.86

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Solution

The fourth proportional to 198,959.34, 298,439.04 and 65,803.86 is: 98,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,959.34 : 298,439.04 = 65,803.86 : x
  2. Step 2: Convert to fraction form
    198,959.34/298,439.04 = 65,803.86/x
  3. Step 3: Cross multiply
    198,959.34x = 298,439.04 × 65,803.86
  4. Step 4: Simplify right side
    198,959.34x = 19,638,440,806.69
  5. Step 5: Solve for x
    x = 19,638,440,806.69/198,959.34
  6. Step 6: Final answer
    x = 98,705.80

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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.