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Finding the Fourth Proportional to 198,466.68, 273,696.36 and 130,363.50

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Solution

The fourth proportional to 198,466.68, 273,696.36 and 130,363.50 is: 179,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,466.68 : 273,696.36 = 130,363.50 : x
  2. Step 2: Convert to fraction form
    198,466.68/273,696.36 = 130,363.50/x
  3. Step 3: Cross multiply
    198,466.68x = 273,696.36 × 130,363.50
  4. Step 4: Simplify right side
    198,466.68x = 35,680,015,426.86
  5. Step 5: Solve for x
    x = 35,680,015,426.86/198,466.68
  6. Step 6: Final answer
    x = 179,778.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.