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Finding the Fourth Proportional to 199,647.60, 299,471.40 and 184,441.20

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Solution

The fourth proportional to 199,647.60, 299,471.40 and 184,441.20 is: 276,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,647.60 : 299,471.40 = 184,441.20 : x
  2. Step 2: Convert to fraction form
    199,647.60/299,471.40 = 184,441.20/x
  3. Step 3: Cross multiply
    199,647.60x = 299,471.40 × 184,441.20
  4. Step 4: Simplify right side
    199,647.60x = 55,234,864,381.68
  5. Step 5: Solve for x
    x = 55,234,864,381.68/199,647.60
  6. Step 6: Final answer
    x = 276,661.80

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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.