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Finding the Fourth Proportional to 198,493.60, 297,740.40 and 184,496.80

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Solution

The fourth proportional to 198,493.60, 297,740.40 and 184,496.80 is: 276,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,493.60 : 297,740.40 = 184,496.80 : x
  2. Step 2: Convert to fraction form
    198,493.60/297,740.40 = 184,496.80/x
  3. Step 3: Cross multiply
    198,493.60x = 297,740.40 × 184,496.80
  4. Step 4: Simplify right side
    198,493.60x = 54,932,151,030.72
  5. Step 5: Solve for x
    x = 54,932,151,030.72/198,493.60
  6. Step 6: Final answer
    x = 276,745.20

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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.