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Finding the Fourth Proportional to 198,692.40, 298,038.60 and 176,919.60

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Solution

The fourth proportional to 198,692.40, 298,038.60 and 176,919.60 is: 265,379.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,692.40 : 298,038.60 = 176,919.60 : x
  2. Step 2: Convert to fraction form
    198,692.40/298,038.60 = 176,919.60/x
  3. Step 3: Cross multiply
    198,692.40x = 298,038.60 × 176,919.60
  4. Step 4: Simplify right side
    198,692.40x = 52,728,869,896.56
  5. Step 5: Solve for x
    x = 52,728,869,896.56/198,692.40
  6. Step 6: Final answer
    x = 265,379.40

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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.