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Finding the Fourth Proportional to 199,818.40, 299,727.60 and 52,074.40

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Solution

The fourth proportional to 199,818.40, 299,727.60 and 52,074.40 is: 78,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,818.40 : 299,727.60 = 52,074.40 : x
  2. Step 2: Convert to fraction form
    199,818.40/299,727.60 = 52,074.40/x
  3. Step 3: Cross multiply
    199,818.40x = 299,727.60 × 52,074.40
  4. Step 4: Simplify right side
    199,818.40x = 15,608,134,933.44
  5. Step 5: Solve for x
    x = 15,608,134,933.44/199,818.40
  6. Step 6: Final answer
    x = 78,111.60

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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.