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Finding the Fourth Proportional to 199,902.60, 299,853.90 and 52,158.60

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Solution

The fourth proportional to 199,902.60, 299,853.90 and 52,158.60 is: 78,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,902.60 : 299,853.90 = 52,158.60 : x
  2. Step 2: Convert to fraction form
    199,902.60/299,853.90 = 52,158.60/x
  3. Step 3: Cross multiply
    199,902.60x = 299,853.90 × 52,158.60
  4. Step 4: Simplify right side
    199,902.60x = 15,639,959,628.54
  5. Step 5: Solve for x
    x = 15,639,959,628.54/199,902.60
  6. Step 6: Final answer
    x = 78,237.90

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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.