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Finding the Fourth Proportional to 199,914.68, 299,872.18 and 52,170.68

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Solution

The fourth proportional to 199,914.68, 299,872.18 and 52,170.68 is: 78,256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,914.68 : 299,872.18 = 52,170.68 : x
  2. Step 2: Convert to fraction form
    199,914.68/299,872.18 = 52,170.68/x
  3. Step 3: Cross multiply
    199,914.68x = 299,872.18 × 52,170.68
  4. Step 4: Simplify right side
    199,914.68x = 15,644,535,543.68
  5. Step 5: Solve for x
    x = 15,644,535,543.68/199,914.68
  6. Step 6: Final answer
    x = 78,256.06

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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.