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Finding the Fourth Proportional to 202,575.40, 303,863.10 and 158,338.60

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Solution

The fourth proportional to 202,575.40, 303,863.10 and 158,338.60 is: 237,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,575.40 : 303,863.10 = 158,338.60 : x
  2. Step 2: Convert to fraction form
    202,575.40/303,863.10 = 158,338.60/x
  3. Step 3: Cross multiply
    202,575.40x = 303,863.10 × 158,338.60
  4. Step 4: Simplify right side
    202,575.40x = 48,113,257,845.66
  5. Step 5: Solve for x
    x = 48,113,257,845.66/202,575.40
  6. Step 6: Final answer
    x = 237,507.90

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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.