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Finding the Fourth Proportional to 198,372.80, 273,838.23 and 133,929.30

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Solution

The fourth proportional to 198,372.80, 273,838.23 and 133,929.30 is: 184,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,372.80 : 273,838.23 = 133,929.30 : x
  2. Step 2: Convert to fraction form
    198,372.80/273,838.23 = 133,929.30/x
  3. Step 3: Cross multiply
    198,372.80x = 273,838.23 × 133,929.30
  4. Step 4: Simplify right side
    198,372.80x = 36,674,961,806.92
  5. Step 5: Solve for x
    x = 36,674,961,806.92/198,372.80
  6. Step 6: Final answer
    x = 184,878.98

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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.