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Finding the Fourth Proportional to 202,442.60, 303,518.10 and 113,723.30

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Solution

The fourth proportional to 202,442.60, 303,518.10 and 113,723.30 is: 170,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,442.60 : 303,518.10 = 113,723.30 : x
  2. Step 2: Convert to fraction form
    202,442.60/303,518.10 = 113,723.30/x
  3. Step 3: Cross multiply
    202,442.60x = 303,518.10 × 113,723.30
  4. Step 4: Simplify right side
    202,442.60x = 34,517,079,941.73
  5. Step 5: Solve for x
    x = 34,517,079,941.73/202,442.60
  6. Step 6: Final answer
    x = 170,503.05

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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.