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Finding the Fourth Proportional to 199,905.60, 299,858.40 and 52,161.60

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Solution

The fourth proportional to 199,905.60, 299,858.40 and 52,161.60 is: 78,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,905.60 : 299,858.40 = 52,161.60 : x
  2. Step 2: Convert to fraction form
    199,905.60/299,858.40 = 52,161.60/x
  3. Step 3: Cross multiply
    199,905.60x = 299,858.40 × 52,161.60
  4. Step 4: Simplify right side
    199,905.60x = 15,641,093,917.44
  5. Step 5: Solve for x
    x = 15,641,093,917.44/199,905.60
  6. Step 6: Final answer
    x = 78,242.40

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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.