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Finding the Fourth Proportional to 199,589.60, 299,384.40 and 184,499.30

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Solution

The fourth proportional to 199,589.60, 299,384.40 and 184,499.30 is: 276,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,589.60 : 299,384.40 = 184,499.30 : x
  2. Step 2: Convert to fraction form
    199,589.60/299,384.40 = 184,499.30/x
  3. Step 3: Cross multiply
    199,589.60x = 299,384.40 × 184,499.30
  4. Step 4: Simplify right side
    199,589.60x = 55,236,212,230.92
  5. Step 5: Solve for x
    x = 55,236,212,230.92/199,589.60
  6. Step 6: Final answer
    x = 276,748.95

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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.