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Finding the Fourth Proportional to 202,765.60, 303,899.28 and 113,832.64

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Solution

The fourth proportional to 202,765.60, 303,899.28 and 113,832.64 is: 170,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,765.60 : 303,899.28 = 113,832.64 : x
  2. Step 2: Convert to fraction form
    202,765.60/303,899.28 = 113,832.64/x
  3. Step 3: Cross multiply
    202,765.60x = 303,899.28 × 113,832.64
  4. Step 4: Simplify right side
    202,765.60x = 34,593,657,336.50
  5. Step 5: Solve for x
    x = 34,593,657,336.50/202,765.60
  6. Step 6: Final answer
    x = 170,609.10

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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.