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Finding the Fourth Proportional to 199,814, 299,714.10 and 50,055.60

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Solution

The fourth proportional to 199,814, 299,714.10 and 50,055.60 is: 75,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,814 : 299,714.10 = 50,055.60 : x
  2. Step 2: Convert to fraction form
    199,814/299,714.10 = 50,055.60/x
  3. Step 3: Cross multiply
    199,814x = 299,714.10 × 50,055.60
  4. Step 4: Simplify right side
    199,814x = 15,002,369,103.96
  5. Step 5: Solve for x
    x = 15,002,369,103.96/199,814
  6. Step 6: Final answer
    x = 75,081.67

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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.