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Finding the Fourth Proportional to 199,494.91, 298,904.10 and 120,443.10

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Solution

The fourth proportional to 199,494.91, 298,904.10 and 120,443.10 is: 180,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,494.91 : 298,904.10 = 120,443.10 : x
  2. Step 2: Convert to fraction form
    199,494.91/298,904.10 = 120,443.10/x
  3. Step 3: Cross multiply
    199,494.91x = 298,904.10 × 120,443.10
  4. Step 4: Simplify right side
    199,494.91x = 36,000,936,406.71
  5. Step 5: Solve for x
    x = 36,000,936,406.71/199,494.91
  6. Step 6: Final answer
    x = 180,460.43

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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.