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Finding the Fourth Proportional to 198,853.56, 298,327.05 and 65,733.81

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Solution

The fourth proportional to 198,853.56, 298,327.05 and 65,733.81 is: 98,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,853.56 : 298,327.05 = 65,733.81 : x
  2. Step 2: Convert to fraction form
    198,853.56/298,327.05 = 65,733.81/x
  3. Step 3: Cross multiply
    198,853.56x = 298,327.05 × 65,733.81
  4. Step 4: Simplify right side
    198,853.56x = 19,610,173,622.56
  5. Step 5: Solve for x
    x = 19,610,173,622.56/198,853.56
  6. Step 6: Final answer
    x = 98,616.16

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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.